DOCSLIB.ORG

Quantum and Statistical Field Theory Ebook

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Quantum and Statistical Field Theory Ebook QUANTUM AND STATISTICAL FIELD THEORY PDF, EPUB, EBOOK Michel Le Bellac | 608 pages | 21 May 1992 | Oxford University Press | 9780198539643 | English | Oxford, United Kingdom Quantum and Statistical Field Theory PDF Book We have a dedicated site for Germany. The importance of perturbative methods is understandable realizing that they establish the immediate contact between theory and experiment. Auyang emphasizes the general conceptual significance of invariance principles; Redhead and Martin focus specifically on gauge symmetries. In a rather informal sense QFT is the extension of quantum mechanics QM , dealing with particles, over to fields, i. To conclude, it is difficult to say how the availability of UIRs should be interpreted in general. Clifton, R. Migdal Bibliographic information. A finite data set can constrain an infinite number of degrees of freedom, however, not to complete knowledge. As everyone knows, quantum field theories are not about fields, at least not in the usual sense. Subject Quantum field theory. Mirror Sites View this site from another server:. From a physical point of view, such functions are equivalent and physics actually deals with the equivalence class of functions with identical measures. Gupta and R. Consequently, for a discriminating criterion it is more appropriate to say that only QFT, and not QM, allows describing systems with an infinite number of degrees of freedom, i. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. Malament that the only way to reconcile QM and SRT is in terms of a field theory, so that ii and iii would coincide. With respect to the ontology of QFT one is tempted to more or less dismiss ontological inquiries and to adopt the following straightforward view. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Reeh, H. So far, we focussed on the operationalist motives for reformulating QFT and some of its consequences. For the extreme ontic structural realist there is nothing but structures in the world Ladyman String theory, for instance, proposes a completely new view concerning the most fundamental building blocks: It does not merely incorporate gravitation but it formulates a new theory that describes all four interactions in a unified way, namely in terms of strings see next subsection. Standard introductory monographs on string theory are Polchinski and Kaku I n IFT, the field has definite values at all locations, those are, however, simply not known precisely. Indeed, if collapse can reasonably be hidden in existing sectors of the Standard Model, it means that the effects we currently consider to be typical signatures of collapse just come from peculiar choices of non-relativistic models. The immediate contact between scattering experiments and QFT is given by the scattering or S-matrix which contains all the relevant predictive information about, e. Obviously this characteristic alone cannot constitute a sufficient condition for being a particle since there are other things which are countable as well without being particles, e. Schweber, S. Operator product expansions. Schechter and C. Therefore, the Unruh effect does not cause distress for the particle interpretation—which the authors see to be fighting a losing battle anyhow—because Rindler quanta are not real and the unitary inequivalence of the representations in question has nothing specific to do with conflicting particle ascriptions. Accordingly, the corpus of perturbative methods plays a small role in philosophical investigations of QFT. See Terms for more information. Coleman and E. Schwinger at Harvard University, employing thermal Green's function methods to determine the Landau quantized plasmon spectrum. Brown, M. However, it will involve you to get what call as the preferred thing. Quantum field theory QFT deals very successfully with the dynamics of quantum fields, where quantum uncertainty forbids the specification of unique field values. Auyang, S. View 4 excerpts, cites background and results. In addition, symmetries bring about substantial technical advantages. Jevicki and B. Although the IFT formalism is mathematically equivalent to the SFT formalism, IFT keeps book of a broader class of uncertainties like the information loss of measurement processes due to imperfection and noise. Quantum and Statistical Field Theory Writer Some classes will be devoted to exercises that students will solve under the teacher's supervision. The first motive is operationalism, the second one mathematical rigour and the third one finding a way to deal with the availability of inequivalent Hilbert space representations for systems with an infinite number of degrees of freedom, such as fields. Name of resource. The immediate contact between scattering experiments and QFT is given by the scattering or S-matrix which contains all the relevant predictive information about, e. However, this does not mean that every function represents a different field, as functions can differ on immeasurably small sets of locations without changing any measurement an integral of the function over a finite domain. Oxford Scholarship Online. Student Grants. The canonical formalism of QFT as introduced in the previous section is only applicable in the case of free fields since the inclusion of interaction leads to infinities see the historical part. Alvarez-Gaume, C. O n Ising, Heisenberg, If particles were the basic objects of QFT how can it be that there are physical phenomena even if nothing is there according to this very ontology? Kronz, F. This somewhat surprising fact shows how gradual the distinction between fields and matter can be. Both domains are only connected by altered coupling constants and the renormalization group describes how the coupling constants depend on the energy. See the entry on quantum mechanics. It seems almost impossible to talk about elementary particle physics, or QFT more generally, without thinking of particles which are accelerated and scattered in colliders. Callender, C. This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. Teacher Francesco Ravanini. Minimal models. Ontology is concerned with the most general features, entities and structures of being. The easiest way to quantize the electromagnetic or: radiation field consists of two steps. Breitenlohner and D. Whether the number of degrees of freedom in applied IFT examples, where often the field is just an effective description of a huge number of atoms, is really infinite, can be argued. Wadia In addition, symmetries bring about substantial technical advantages. Cao, T. One basic problem is that the mass, length and time scales quantum gravity theories are dealing with are so extremely small that it is almost impossible to test the different proposals. For example, the only Lorentz invariant and gauge invariant renormalizable Lagrangian for photons and electrons is precisely the original Dirac Lagrangian. Course Timetable from Feb 26, to May 28, That is, equation 5. On the one hand, as already mentioned above, there also is a relativistic QM, with the Klein-Gordon- and the Dirac-equation among their most famous results. Quantum and Statistical Field Theory Reviews Bratteli, O. Fukuma, H. Since higher energies correspond to smaller distances this dependence is to be expected from an atomistic point of view. Better, it is the same model that does those two things. In contrast, gravitation is, according to GRT, not an interaction that takes place in time, but gravitational forces are identified with the curvature of space-time itself. PAGE 1. This has become an important basis for unification programs, as is the analogy to general relativity where a local gauge symmetry general covariance leads to the Einstein-Hilbert theory of the gravitational field. Why is this helpful for QFT? The nature of QFT thus cannot simply be that it reconciles QM with the requirement of relativistic invariance. Eguchi and H. Related Entries physics: symmetry and symmetry breaking quantum mechanics quantum theory: identity and individuality in quantum theory: quantum gravity. The degree of excitation of a certain mode of the underlying field determines the number of objects, i. Nakayama Moreover, gauge invariance plays an important role in selecting theories. Standard introductory monographs on string theory are Polchinski and Kaku The basic idea of this new story about renormalization is that the influences of higher energy processes are localizable in a few structural properties which can be captured by an adjustment of parameters. Horuzhy, S. Kazakov and I. Your email. Pictures; Heisenberg Eqn. Quantum and Statistical Field Theory Read Online Citation Type. Gervais and B. Applications to particle physics include quantum electrodynamics and chromodynamics, electroweak interactions, and lattice gauge theories. Auyang, S. This is a rash judgement, however. Italian students. This Book have some digital formats such us :paperbook, ebook, kindle, epub, fb2 and another formats. Applied Probability and Stochastic Processes. If one thinks of QM as the modern theory of one particle or, perhaps, very few particles , one can then think of QFT as an extension of QM for the analysis of systems with many particles—and
Load more

Recommended publications
  • Arxiv:1910.05796V2 [Math-Ph] 26 Oct 2020 5
    Towards a conformal field theory for Schramm-Loewner evolutions Eveliina Peltola [email protected] Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, D-53115 Bonn, Germany We discuss the partition function point of view for chordal Schramm-Loewner evolutions and their relation- ship with correlation functions in conformal field theory. Both are closely related to crossing probabilities and interfaces in critical models in two-dimensional statistical mechanics. We gather and supplement previous results with different perspectives, point out remaining difficulties, and suggest directions for future studies. 1. Introduction 2 2. Schramm-Loewner evolution in statistical mechanics and conformal field theory4 A. Schramm-Loewner evolution (SLE) 5 B. SLE in critical models – the Ising model6 C. Conformal field theory (CFT) 7 D. Martingale observables for interfaces 9 3. Multiple SLE partition functions and applications 12 A. Multiple SLEs and their partition functions 12 B. Definition of the multiple SLE partition functions 13 C. Properties of the multiple SLE partition functions 16 D. Relation to Schramm-Loewner evolutions and critical models 18 4. Fusion and operator product expansion 20 A. Fusion and operator product expansion in conformal field theory 21 B. Fusion: analytic approach 22 C. Fusion: systematic algebraic approach 23 D. Operator product expansion for multiple SLE partition functions 26 arXiv:1910.05796v2 [math-ph] 26 Oct 2020 5. From OPE structure to products of random distributions? 27 A. Conformal bootstrap 27 B. Random tempered distributions 28 C. Bootstrap construction? 29 Appendix A. Representation theory of the Virasoro algebra 31 Appendix B. Probabilistic construction of the pure partition functions 32 Appendix C.
    [Show full text]
  • Notes on Statistical Field Theory
    Lecture Notes on Statistical Field Theory Kevin Zhou [email protected] These notes cover statistical field theory and the renormalization group. The primary sources were: • Kardar, Statistical Physics of Fields. A concise and logically tight presentation of the subject, with good problems. Possibly a bit too terse unless paired with the 8.334 video lectures. • David Tong's Statistical Field Theory lecture notes. A readable, easygoing introduction covering the core material of Kardar's book, written to seamlessly pair with a standard course in quantum field theory. • Goldenfeld, Lectures on Phase Transitions and the Renormalization Group. Covers similar material to Kardar's book with a conversational tone, focusing on the conceptual basis for phase transitions and motivation for the renormalization group. The notes are structured around the MIT course based on Kardar's textbook, and were revised to include material from Part III Statistical Field Theory as lectured in 2017. Sections containing this additional material are marked with stars. The most recent version is here; please report any errors found to [email protected]. 2 Contents Contents 1 Introduction 3 1.1 Phonons...........................................3 1.2 Phase Transitions......................................6 1.3 Critical Behavior......................................8 2 Landau Theory 12 2.1 Landau{Ginzburg Hamiltonian.............................. 12 2.2 Mean Field Theory..................................... 13 2.3 Symmetry Breaking.................................... 16 3 Fluctuations 19 3.1 Scattering and Fluctuations................................ 19 3.2 Position Space Fluctuations................................ 20 3.3 Saddle Point Fluctuations................................. 23 3.4 ∗ Path Integral Methods.................................. 24 4 The Scaling Hypothesis 29 4.1 The Homogeneity Assumption............................... 29 4.2 Correlation Lengths.................................... 30 4.3 Renormalization Group (Conceptual)..........................
    [Show full text]
  • Arxiv:0807.3472V1 [Cond-Mat.Stat-Mech] 22 Jul 2008 Conformal Field Theory and Statistical Mechanics∗
    Conformal Field Theory and Statistical Mechanics∗ John Cardy July 2008 arXiv:0807.3472v1 [cond-mat.stat-mech] 22 Jul 2008 ∗Lectures given at the Summer School on Exact methods in low-dimensional statistical physics and quantum computing, les Houches, July 2008. 1 CFT and Statistical Mechanics 2 Contents 1 Introduction 3 2 Scale invariance and conformal invariance in critical behaviour 3 2.1 Scaleinvariance ................................. 3 2.2 Conformalmappingsingeneral . .. 6 3 The role of the stress tensor 7 3.0.1 An example - free (gaussian) scalar field . ... 8 3.1 ConformalWardidentity. 9 3.2 An application - entanglement entropy . ..... 12 4 Radial quantisation and the Virasoro algebra 14 4.1 Radialquantisation.............................. 14 4.2 TheVirasoroalgebra .............................. 15 4.3 NullstatesandtheKacformula . .. 16 4.4 Fusionrules ................................... 17 5 CFT on the cylinder and torus 18 5.1 CFTonthecylinder .............................. 18 5.2 Modularinvarianceonthetorus . ... 20 5.2.1 Modular invariance for the minimal models . .... 22 6 Height models, loop models and Coulomb gas methods 24 6.1 Heightmodelsandloopmodels . 24 6.2 Coulombgasmethods ............................. 27 6.3 Identification with minimal models . .... 28 7 Boundary conformal field theory 29 7.1 Conformal boundary conditions and Ward identities . ......... 29 7.2 CFT on the annulus and classification of boundary states . ......... 30 7.2.1 Example................................. 34 CFT and Statistical Mechanics 3 7.3
    [Show full text]
  • Statistical Field Theory University of Cambridge Part III Mathematical Tripos
    Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2017 Statistical Field Theory University of Cambridge Part III Mathematical Tripos David Tong Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 OBA, UK http://www.damtp.cam.ac.uk/user/tong/sft.html [email protected] –1– Recommended Books and Resources There are a large number of books which cover the material in these lectures, although often from very di↵erent perspectives. They have titles like “Critical Phenomena”, “Phase Transitions”, “Renormalisation Group” or, less helpfully, “Advanced Statistical Mechanics”. Here are some that I particularly like Nigel Goldenfeld, Phase Transitions and the Renormalization Group • Agreatbook,coveringthebasicmaterialthatwe’llneedanddelvingdeeperinplaces. Mehran Kardar, Statistical Physics of Fields • The second of two volumes on statistical mechanics. It cuts a concise path through the subject, at the expense of being a little telegraphic in places. It is based on lecture notes which you can find on the web; a link is given on the course website. John Cardy, Scaling and Renormalisation in Statistical Physics • Abeautifullittlebookfromoneofthemastersofconformalfieldtheory.Itcoversthe material from a slightly di↵erent perspective than these lectures, with more focus on renormalisation in real space. Chaikin and Lubensky, Principles of Condensed Matter Physics • Shankar, Quantum Field Theory and Condensed Matter • Both of these are more all-round condensed matter books, but with substantial sections on critical phenomena and the renormalisation group. Chaikin and Lubensky is more traditional, and packed full of content. Shankar covers modern methods of QFT, with an easygoing style suitable for bedtime reading. Anumberofexcellentlecturenotesareavailableontheweb.Linkscanbefoundon the course webpage: http://www.damtp.cam.ac.uk/user/tong/sft.html.
    [Show full text]
  • Euclidean Field Theory
    February 2, 2011 Euclidean Field Theory Kasper Peeters & Marija Zamaklar Lecture notes for the M.Sc. in Elementary Particle Theory at Durham University. Copyright c 2009-2011 Kasper Peeters & Marija Zamaklar Department of Mathematical Sciences University of Durham South Road Durham DH1 3LE United Kingdom http://maths.dur.ac.uk/users/kasper.peeters/eft.html [email protected] [email protected] 1 Introducing Euclidean Field Theory5 1.1 Executive summary and recommended literature............5 1.2 Path integrals and partition sums.....................7 1.3 Finite temperature quantum field theory.................8 1.4 Phase transitions and critical phenomena................ 10 2 Discrete models 15 2.1 Ising models................................. 15 2.1.1 One-dimensional Ising model................... 15 2.1.2 Two-dimensional Ising model................... 18 2.1.3 Kramers-Wannier duality and dual lattices........... 19 2.2 Kosterlitz-Thouless model......................... 21 3 Effective descriptions 25 3.1 Characterising phase transitions..................... 25 3.2 Mean field theory.............................. 27 3.3 Landau-Ginzburg.............................. 28 4 Universality and renormalisation 31 4.1 Kadanoff block scaling........................... 31 4.2 Renormalisation group flow........................ 33 4.2.1 Scaling near the critical point................... 33 4.2.2 Critical surface and universality................. 34 4.3 Momentum space flow and quantum field theory........... 35 5 Lattice gauge theory 37 5.1 Lattice action................................. 37 5.2 Wilson loops................................. 38 5.3 Strong coupling expansion and confinement.............. 39 5.4 Monopole condensation.......................... 39 3 4 1 Introducing Euclidean Field Theory 1.1. Executive summary and recommended literature This course is all about the close relation between two subjects which at first sight have very little to do with each other: quantum field theory and the theory of criti- cal statistical phenomena.
    [Show full text]
  • String Theory and Related Subjects
    String theory and related subjects Marios Petropoulos Centre de Physique Théorique, Ecole Polytechnique ICFP Theoretical Physics What is string theory? • Worldwide scientific activity • Branch of mathematical/theoretical physics • high-energy particle physics • gravity/cosmology • statistical mechanics/condensed matter • geormetry and more mathematical topics A few words on particle physics ... • Since 1931 (Berkeley) particles are produced in accelerators and colliders • at high energy: relativistic c • at microscopic scales: quantum ħ • Particles and interactions studied with relativistic quantum mechanics: Quantum Field Theory • Culminated in the 70’s with a gauge theory: the Standard Model Note: QFT is a tool used in statistical mechanics and condensed matter ... and gravity • Described since 1916 by a classical field theory named General Relativity • Verified with high precision in the solar system and beyond: mercury perihelion precession, Shapiro effect, pulsars, GPS • Successfully applied to cosmology: Big-Bang and further evolution • Hard to reconcile with ħ: non-renormalizable QFT String theory historically • Prehistory : dual models (1967-1974) • History : theory of gravity (1974-1984) • Modern ages : theory of everything (1984-2000) • Maturity : toolbox like and beyond QFT (2000-) String theory ideally • The point-like object is abandoned • The techniques include QFT • The output is the possibility for various particles and interactions to emerge ... • ... in particular gauge theories & quantum gravity defined in 10 space-time dimensions String theory practically • Quantum gravity • supergravity • various aspects of black holes such as black-hole thermodynamics ... • Grand-unified theory • analyse compactifications: geometry • comply with SM: phenomenology, supersymmetry String theory practically • Cosmology • initial singularity • cosmological evolution • More generally • develop techniques beyond QFT, dualities ... • understand (and prove?) holography: integrability • apply holographic correspondence to QCD, condensed-matter systems, superfluids ..
    [Show full text]
  • Indecomposability in Field Theory and Applications to Disordered Systems and Geometrical Problems Vasseur Romain
    Indecomposability in field theory and applications to disordered systems and geometrical problems Vasseur Romain To cite this version: Vasseur Romain. Indecomposability in field theory and applications to disordered systems andge- ometrical problems. Mathematical Physics [math-ph]. Université Pierre et Marie Curie - Paris VI, 2013. English. tel-00876155 HAL Id: tel-00876155 https://tel.archives-ouvertes.fr/tel-00876155 Submitted on 23 Oct 2013 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. UNIVERSITE´ PIERRE ET MARIE CURIE - PARIS VI et INSTITUT DE PHYSIQUE THEORIQUE´ - CEA/SACLAY Ecole´ Doctorale de Physique de la R´egion Parisienne - ED 107 Th`ese de doctorat Sp´ecialit´e: Physique Th´eorique Indecomposability in field theory and applications to disordered systems and geometrical problems pr´esent´ee par Romain Vasseur pour obtenir le grade de Docteur de l’Universit´ePierre et Marie Curie Th`ese pr´epar´ee sous la direction de Hubert Saleur et de Jesper Jacobsen Soutenue le 27 Septembre 2013 devant le jury compos´ede : Denis Bernard Examinateur
    [Show full text]
  • Statistical Field Theory University of Cambridge Part III Mathematical Tripos
    Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2017 Statistical Field Theory University of Cambridge Part III Mathematical Tripos David Tong Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 OBA, UK http://www.damtp.cam.ac.uk/user/tong/sft.html [email protected] { 1 { Recommended Books and Resources There are a large number of books which cover the material in these lectures, although often from very different perspectives. They have titles like \Critical Phenomena", \Phase Transitions", \Renormalisation Group" or, less helpfully, \Advanced Statistical Mechanics". Here are some that I particularly like • Nigel Goldenfeld, Phase Transitions and the Renormalization Group A great book, covering the basic material that we'll need and delving deeper in places. • Mehran Kardar, Statistical Physics of Fields The second of two volumes on statistical mechanics. It cuts a concise path through the subject, at the expense of being a little telegraphic in places. It is based on lecture notes which you can find on the web; a link is given on the course website. • John Cardy, Scaling and Renormalisation in Statistical Physics A beautiful little book from one of the masters of conformal field theory. It covers the material from a slightly different perspective than these lectures, with more focus on renormalisation in real space. • Chaikin and Lubensky, Principles of Condensed Matter Physics • Shankar, Quantum Field Theory and Condensed Matter Both of these are more all-round condensed matter books, but with substantial sections on critical phenomena and the renormalisation group. Chaikin and Lubensky is more traditional, and packed full of content.
    [Show full text]
  • A Statistical Field Theory for Classical Particles, Foundations and Applica- Tions in Cosmological Structure Formation, © January 2015 ABSTRACT
    Dissertation submitted to the Combined Faculties for the Natural Sciences and for Mathematics of the Ruperta-Carola University of Heidelberg for the degree of Doctor of Natural Sciences Put forward by Dipl.-Phys. Felix Fabis born in Heidelberg Oral Examination: 15.04.2015 ASTATISTICALFIELDTHEORYFORCLASSICALPARTICLES foundations and applications in cosmological structure formation Refereed by: Prof. Dr. Matthias Bartelmann Prof. Dr. Manfred Salmhofer January 2015 – Final Version Felix Fabis: A Statistical Field Theory for Classical Particles, Foundations and Applica- tions in Cosmological Structure Formation, © January 2015 ABSTRACT We develop a field-theoretical version of kinetic theory based on the pioneering work in [39, 40, 22]. A canonical generating functional for correlators of macroscopic ob- servables is derived using the language of path integrals with the microscopic phase- space coordinates as the fundamental variables determining the dynamics. The find- ings of the original works are generalised to systems with correlated initial conditions. An exact initial phase-space distribution for a homogeneous and isotropic Gaussian random field is calculated, translated into a diagram language and factorised into connected contributions. The grand canonical generating functional is derived for systems obeying statistical homogeneity and isotropy. Using this, a perturbation the- ory in terms of coupled integral equations is developed and shown to suffer from inconsistencies due to the presence of initial correlations. We discover hints at a pos- sible cure by using the first order solution for two-point cumulants to reorganise one- loop diagrams. Applied to cosmological structure formation the first order solution for the density power spectrum is found to be the familiar linear growth solution.
    [Show full text]
  • String Theory, Superstring Theory and Beyond
    Cambridge University Press 0521672287 - String Theory: Superstring Theory and Beyond, Volume II Joseph Polchinski Frontmatter More information String Theory, Superstring Theory and Beyond The two volumes that comprise String Theory provide an up-to-date, comprehensive, and pedagogic introduction to string theory. Volume I, An Introduction to the Bosonic String, provides a thorough introduction to the bosonic string, based on the Polyakov path integral and conformal field theory. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree-level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of the finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is also included. Volume II, Superstring Theory and Beyond, begins with an introduction to supersym- metric string theories and goes on to a broad presentation of the important advances of recent years. The first three chapters introduce the type I, type II, and heterotic superstring theories and their interactions. The next two chapters present important recent discoveries about strongly coupled strings, beginning with a detailed treatment of D-branes and their dynamics, and covering string duality, M-theory, and black hole entropy. A following chapter collects many classic results in conformal field theory. The final four chapters are concerned with four-dimensional string theories, and have two goals: to show how some of the simplest string models connect with previous ideas for unifying the Standard Model; and to collect many important and beautiful general results on world-sheet and spacetime symmetries.
    [Show full text]
  • The Connection Between Statistical Mechanics and Quantum Field Theory
    ITP-SB-94-07 HEPTH 9403084 The Connection Between Statistical Mechanics and Quantum Field Theory Barry M. McCoy 1 Institute for Theoretical Physics State University of New York Stony Brook, NY 11794-3840 Abstract A four part series of lectures on the connection of statistical mechanics and quantum field theory. The general principles relating statistical mechanics and the path integral formulation of quantum field theory are presented in the first lecture. These principles are arXiv:hep-th/9403084v2 18 Mar 1994 then illustrated in lecture 2 by a presentation of the theory of the Ising model for H = 0, where both the homogeneous and randomly inhomogeneous models are treated and the scaling theory and the relation with Fredholm determinants and Painlev´eequations is presented. In lecture 3 we consider the Ising model with H 6= 0, where the relation with gauge theory is used to discuss the phenomenon of confinement. We conclude in the last lecture with a discussion of quantum spin diffusion in one dimensional chains and a presentation of the chiral Potts model which illustrates the physical effects that can occur when the Euclidean and Minkowski regions are not connected by an analytic continuation. 3/94 1 [email protected] Part I. Introduction Abstract The connection between the Euclidean path integral formulation of quantum field theory and classical statistical mechanics is surveyed in terms of the theory of critical phenomena and the concept of renormalization. Quantum statistical mechanics is surveyed with an emphasis on diffusive phenomena. The particle interpretation of quantum field theory is discussed in the context of nonperturbative statistical mechanics.
    [Show full text]
  • Curriculum Vitae of German Sierra (Dated: December 2014)
    Curriculum Vitae of German Sierra (Dated: December 2014) Personal Data Name : Germ´an Surname: Sierra Rodero Nationality: Spanish Date of Birth: 13 May 1955 Professional data Organism : Consejo Superior de Investigaciones Cientificas (Spain) Centre: Instituto de Fisica Teorica CSIC-UAM Address: C/ Nicolas Cabrera 13-15, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain. Phone: : (34) 91 299 9875 Email: [email protected] Professional Category: Full professor. Academic Career Graduate in Physics, Univ. Complutense de Madrid, Spain (1978). PhD in Physics, Univ. Complutense de Madrid, Spain (1981). Postdoc at l'Ecole Normale Superieure, Paris, France (1981 -1983). Titular professor at Univ. Complutense de Madrid, Spain (1984 - 1987). Fellow at CERN, Geneva, Switzerland (1987 - 1989). Scientific researcher, CSIC, Spain (1989 - 2005). Full professor, CSIC, Spain (2005 - today). Publications From Web of Science: 136 articles, 3.871 citations and h-index: 31. Articles [1] "Causality of a wave equation and invariance of its hyperbolicity conditions", A. F. Ra~naday G. Sierra, Phys. Rev. D22 (1980) 385. [2] "A theory of the Rarita-Schwinger field without superluminality", A. F.Ra~nada,G. Sierra, Phys. Rev.D22 (1980) 2416. [3] "Classical and Quantum fields with secondary constraints", G. Sierra, Phys.Rev.D26 (1982) 2730. [4] "Hyperkahler supersymmetric σ-model in six dimensions", G. Sierra, P. K. Townsend, Phys.Lett. 124B (1983) 497. Preprint LPTENS 83/7. [5] "Supersymmetry in six dimensions", P. S. Howe, G. Sierra, P. K. Townsend, Nucl.Phys. B221 (1983) 331. [6] "Chiral anomalies and constraints on the gauge group in higher dimensional supersymmetric Yang-Mills theories", P. K. Townsend, G.
    [Show full text]