PERTURBATIVE AND NON-PERTURBATIVE APPROACHES TO STRING SIGMA-MODELS IN ADS/CFT 1ST EDITION PDF, EPUB, EBOOK Edoardo Vescovi | 9783319634197 | | | | | Perturbative and Non-Perturbative Approaches to String Sigma-Models in AdS/CFT 1st edition PDF Book Hartle—Hawking state. This produces a theory in which spacetime has effectively a lower number of dimensions and the extra dimensions are "curled up" into circles. Edoardo Vescovi received the B. Schroeder Weber State U. It may be possible to correct some or all of the above problems, or, for various physical problems, some of the objections may not be relevant. This machinery is used to capture quantum corrections at large coupling to next-to-leading and next-to-next-to-leading order by solving the determinants of partial differential operators and by computing Feynman diagrams, respectively. Carlip, Steven Vescovi U. Intuitively, the unitarity postulate says that quantum mechanical systems do not destroy information as they evolve from one state to another. Philipp Toepfer Humboldt U. This fact has been used to study many aspects of nuclear and condensed matter physics by translating problems in those subjects into more mathematically tractable problems in string theory. Nuclear Physics B. As with the hyperbolic plane, anti-de Sitter space is curved in such a way that any point in the interior is actually infinitely far from this boundary surface. Unlike our universe, which is now known to be expanding at an accelerating rate, anti-de Sitter space is neither expanding nor contracting. Kaluza—Klein theory Compactification Why 10 dimensions? Klebanov, Igor; Polyakov, Alexander Notre catalogue. On the other hand, attempts to model hadrons as strings faced serious problems. For example, a single particle in the gravitational theory might correspond to some collection of particles in the boundary theory. Little, Brown and Company. For example, the atoms slow to a halt at a rate that depends on the temperature and on Planck's constant, the fundamental parameter of quantum mechanics, which does not enter into the description of the other phases. Bjoern Leder Humboldt U. Loop quantum gravity Wheeler—DeWitt equation. Current understanding of gravity is based on Albert Einstein 's general theory of relativity. David; Henneaux, Marc Supergravity Superspace Lie superalgebra Lie supergroup. Perturbative and Non-Perturbative Approaches to String Sigma-Models in AdS/CFT 1st edition Writer General Relativity. If the hose is viewed from a sufficient distance, it appears to have only one dimension, its length, but as one approaches the hose, one discovers that it contains a second dimension, its circumference. Download as PDF Printable version. Serguei Chatrchyan Yerevan Phys. Pearson Prentice Hall. Physics Letters B. This machinery is used to capture quantum corrections at large coupling to next-to-leading and next-to-next-to-leading order by solving the determinants of partial differential operators and by computing Feynman diagrams, respectively. Developed by Richard Feynman and others in the first half of the twentieth century, perturbative quantum field theory uses special diagrams called Feynman diagrams to organize computations. It is closely related to hyperbolic space , which can be viewed as a disk as illustrated on the right. Giombi, Simone; Yin, Xi One can therefore consider an auxiliary theory in which "spacetime" is given by the boundary of anti-de Sitter space. The physics of the quark—gluon plasma is governed by quantum chromodynamics, but this theory is mathematically intractable in problems involving the quark—gluon plasma. Random House. Peskin, Michael; Schroeder, Daniel Lorenzo Bianchi Hamburg U. Bibcode : PhRvL.. Michael Pawellek Humboldt U. The resulting geometric object is three-dimensional anti-de Sitter space. Westview Press. Buy Softcover. Here the theory in the bulk is a type of gauge theory describing particles of arbitrarily high spin. Help Learn to edit Community portal Recent changes Upload file. Indeed, hyperbolic space can have more than two dimensions and one can "stack up" copies of hyperbolic space to get higher-dimensional models of anti-de Sitter space. Forini Humboldt U. Such systems are often produced in the laboratory using liquid helium , but recently experimentalists have developed new ways of producing artificial superfluids by pouring trillions of cold atoms into a lattice of criss-crossing lasers. Main articles: Quantum gravity and String theory. Namespaces Article Talk. In very elementary terms, anti-de Sitter space is a mathematical model of spacetime in which the notion of distance between points the metric is different from the notion of distance in ordinary Euclidean geometry. Quantum Field Theory in a Nutshell 2nd ed. Polyakov Landau Inst. European Mathematical Society. JHEP 10 Supervisor: Valentina Forini Humboldt U. Bibcode : CQGra.. One-loop spectroscopy of semiclassically quantized strings: bosonic sector Valentina Forini Humboldt U. For details see Fefferman and Graham , Fefferman and Graham Near a quantum critical point, both time and space may be scaling, but even there we still have a preferred coordinate system and, usually, a lattice. As with the hyperbolic plane, anti-de Sitter space is curved in such a way that any point in the interior is actually infinitely far from this boundary surface. References Greene, Brian Higgs Edinburgh U. Edoardo Vescovi received the B. The thesis focuses on fundamental aspects, as well as on applications previously published by the author, and offers a valuable reference work for anyone interested in the most recent developments in this field. Citations per year 0 3 1. Perturbative and Non-Perturbative Approaches to String Sigma-Models in AdS/CFT 1st edition Reviews Vescovi Humboldt U. It is supersymmetric. Pearson Prentice Hall. Marco S. One property of this boundary is that, locally around any point, it looks just like Minkowski space , the model of spacetime used in nongravitational physics. Beginning with the work of J. At the level of Feynman diagrams, this means replacing the one-dimensional diagram representing the path of a point particle by a two-dimensional surface representing the motion of a string. One can alternatively view this correspondence as providing a definition of string theory in the special case where the gravitational field is asymptotically anti-de Sitter that is, when the gravitational field resembles that of anti-de Sitter space at spatial infinity. Later, in , Gerard 't Hooft wrote a speculative paper on quantum gravity in which he revisited Hawking's work on black hole thermodynamics , concluding that the total number of degrees of freedom in a region of spacetime surrounding a black hole is proportional to the surface area of the horizon. Buy eBook. An Introduction to quantum field theory Michael E. Over the decades, experimental condensed matter physicists have discovered a number of exotic states of matter, including superconductors and superfluids. Living Rev. It has no chiral symmetry breaking or mass generation. Action et Aventures. In addition, the predictions in the two theories are quantitatively identical so that if two particles have a 40 percent chance of colliding in the gravitational theory, then the corresponding collections in the boundary theory would also have a 40 percent chance of colliding. T- duality S-duality U-duality Montonen—Olive duality. Bibcode : AdTMP Classical and Quantum Gravity. Physically interesting quantities in string theory are defined in terms of quantities in the dual quantum field theory. Hartle—Hawking state. Perturbative and Non-Perturbative Approaches to String Sigma-Models in AdS/CFT 1st edition Read Online Edoardo Vescovi Humboldt U. McLerran, Larry Buy Hardcover. It seems that you're in Germany. Such a duality is interesting from the point of view of cosmology since many cosmologists believe that the very early universe was close to being de Sitter space. Alexander M. Michael Pawellek Humboldt U. The idea was that each of these particles could be viewed as a different oscillation mode of a string. Nominated as an outstanding Ph. Puletti Iceland U. So far some success has been achieved in using string theory methods to describe the transition of a superfluid to an insulator. Valentina Forini Humboldt U. Hidden categories: Articles with short description Short description matches Wikidata Featured articles CS1 errors: empty unknown parameters. Matrix theory Introduction to M-theory. Edoardo Vescovi received the B. Later, in , Gerard 't Hooft wrote a speculative paper on quantum gravity in which he revisited Hawking's work on black hole thermodynamics , concluding that the total number of degrees of freedom in a region of spacetime surrounding a black hole is proportional to the surface area of the horizon. The starting point for string theory is the idea that the point-like particles of quantum field theory can also be modeled as one-dimensional objects called strings. General Relativity. Bunch—Davies vacuum Hawking radiation Semiclassical gravity Unruh effect. Time runs along the vertical direction in this picture. The first part of the thesis sets up the semiclassical quantization of worldsheet sigma-model actions around string solutions of least area in AdS space. Frank Wilczek Princeton U. Hawking, Stephen Random House. Physically interesting quantities in string theory are defined in terms of quantities in the dual quantum field theory. Causal dynamical triangulation Causal sets Noncommutative geometry Spin foam Group