Contacts Organization of the Center CENTER for MA THEMA TICS

Total Page:16

File Type:pdf, Size:1020Kb

Contacts Organization of the Center CENTER for MA THEMA TICS Director Roberto Longo Mathematics Department Organization University of Rome Tor Vergata of the Center Scientific Secretaries Alberto De Sole Alessandro Giuliani Mathematics Department Mathematics Department Sapienza University of Rome Roma Tre University Scientific Council Massimo Bianchi Corrado De Concini in Rome? Physics Department Mathematics Department Why a Center for Mathematics and Theoretical Physics University of Rome Tor Vergata Sapienza University of Rome Sergio Doplicher Giovanni Gallavotti Mathematics Department Physics Department Sapienza University of Rome Sapienza University of Rome Francesco Guerra Giovanni Jona-Lasinio ome is in a unique position Physics Department Physics Department ll major industrialized countries Sapienza University of Rome Sapienza University of Rome as far as basic scientific interdisciplinary host prestigious centers for basic research research between Mathematics Carlangelo Liverani Rossana Marra in Mathematics and Theoretical Physics: R IHES A and Theoretical Physics goes, not only because Mathematics Department Physics Department Institute des Hautes Etudes Scientifiques of the high quality of research but also for the University of Rome Tor Vergata University of Rome Tor Vergata (IHES), France very ample spectrum of subjects studied. Newton Institute for Mathematical Sciences Fabio Martinelli Vieri Mastropietro This puts Rome in a particularly favorable Mathematics Department Mathematics Department (NIMS), UK position, especially compared with other foreign Roma Tre University University of Rome Tor Vergata Institut Mittag-Leffler (IML), Sweden centers where very high quality research is done, but usually focussed on a specific area of study. Giorgio Parisi Paolo Piazza Fields Institute, Toronto, Canada Physics Department Mathematics Department The Center for Mathematics and Theoretical Sapienza University of Rome Sapienza University of Rome Erwin Schrödinger Institut (ESI), Austria NIMS Physics (CMTP) has been recently founded, Max Planck Institut (MPI), Germany following the example of the major foreign Errico Presutti Mathematical Sciences Research Institute Mathematics Department centers, both in Europe and elsewhere. (MSRI) in Berkeley, USA University of Rome Tor Vergata THEORETICAL PHYSICS AND MATHEMATICS Its Scientific Board is governed by the three Institute for Advanced Studies (IAS) roman universities. From an administrative point Claudio Procesi John E. Roberts in Princeton, USA of view, the CMTP is an Interdisciplinary Center Mathematics Department Mathematics Department Sapienza University of Rome University of Rome Tor Vergata of the University of Rome Tor Vergata. IAS ••• IML Contacts FOR CENTER Center for Mathematics and Theoretical Physics c/o Mathematics Department University of Rome Tor Vergata via della Ricerca Scientifica, 1 - 00133 Rome +39 06 7259 4699 MPI MSRI Phone Fax FIELDS INSTITUTE ESI Roberto Longo (director) +39 06 7259 4690 E-mail [email protected] Simonetta De Nicola (secretary) +39 06 7259 4294 Web http://cmtp.uniroma2.it/ Statistical Mechanics an instrument he CMTP has already organized, and it continues to propose, numerous scientific activities in Theoretical international Low Temperature Physics for great international visibility TPhysics and Mathematics, with an ample spectrum of recognition Quantum Field Theory for Italy and for Rome interdisciplinary problems: Algebra, Geometry, Analysis Inaugural Workshop “Seminal Interactions between Mathematics Complex Systems and Physics”, Rome, Accademia del Lincei, September 22-25, 2010, Theory of Chaos under the High Patronage of the President of the Italian Republic. he scientific interaction between Mathematics The conference attracted some of the most prominent figures and Physics in Rome flourishes in such fields as Statistical in contemporary Mathematics and Physics, including the Field TMechanics, Low Temperature Physics, Quantum Field Theory, medalists Alain Connes, Andrei Okounkov, Stanislav Smirnov Infinite Dimensional Algebra, Geometry and Analysis, Complex and Cedric Villani, and the Abel prize winner Isadore Singer Systems, Theory of Chaos, … Workshop on “Conformal Field Theory”, Frascati, National Laboratories of Nuclear Physics, January 10-11, 2011. The high level of the roman scientific community is testified Colloquia Levi-Civita and various Seminars in the three roman by the numerous international recognitions: universities 5 Grants of the European Research Council in the last two years Postdoctoral fellowships for young researchers (for a total of about 7 million euro, more than half of the entire MASSOTTI © SILVIA Lectures for the general audience “Dialoghi di Scienza e Matematica” annual budget for mathematics provided by the Italian government) to A. Giuliani, C. Liverani, R. Longo, F. Martinelli, G. Parisi he main objective of the Center is to promote he creation of the Research Center for scientific research. The CMTP represents a natural place Mathematics and Theoretical Physics (CMTP) Tfor advanced scientific education and constitutes a cultural Tin Rome is not only natural, but a key step to provide Italy basis for exchanges with other foreign centers. To this end, organizes and the city of Rome with an instrument of great impact and congresses, workshops, research projects on specific subjects, offers international visibility. The strategic role of the CMTP is pointed permanent and temporary positions both to foreign scientists of out in the Report of the Commission for the Future of Roma Capitale, great international prestige and to emerging young researchers. where it is mentioned that the Centre could be a possible driving The Center, a member of the International Association of Mathematical force for a renewed cultural rise of the city of Rome. Physics, has the scientific and administrative potential to enlarge its activities and to become a leader at the international level. Feltrinelli Prizes to G. Jona-Lasinio and C. Procesi Boltzmann Medals to G. Gallavotti and G. Parisi The CMTP promotes fundamental scientific research and aims to awaken the interest of the new generations in Science, Planck Medal to G. Parisi by organizing conferences for the general public and activities Dirac Medal to a G. Parisi addressed to high school students, to young people, and to National Prices by the President of the Italian Republic everybody interested in scientific culture. to G. Gallavotti and S. Doplicher Vice President of the International Mathematical Union (C. Procesi) A natural place the Scientific Board of the CMTP includes several invited speakers for advanced scientific education the scientific at the International Mathematics Congress, and members of the and a basis for cultural exchange initiatives Italian National Academy (Accademia dei Lincei), ….
Recommended publications
  • A Scale-Covariant Quantum Space-Time
    A scale-covariant quantum space-time Claudio Perini∗ Institute for Gravitation and the Cosmos, Physics Department, Penn State, University Park, PA 16802-6300, USA Gabriele Nunzio Tornetta† School of Mathematics and Statistics, University of Glasgow, 15 University Gardens, G12 8QW, Scotland A noncommutative space-time admitting dilation symmetry was briefly mentioned in the seminal work [1] of Doplicher, Fredenhagen and Roberts. In this paper we explicitly construct the model in details and carry out an in-depth analysis. The C∗-algebra that describes this quantum space-time is determined, and it is shown that it admits an action by - automorphisms of the dilation group, along with the expected Poincar´ecovariance. In order∗ to study the main physical properties of this scale-covariant model, a free scalar neutral field is introduced as a investigation tool. Our key results are then the loss of locality and the irreducibility, or triviality, of special field algebras associated with regions of the ordinary Minkowski space-time. It turns out, in the conclusions, that this analysis allows also to argue on viable ways of constructing a full conformally covariant model for quantum space-time. I. INTRODUCTION In this paper we study a non-commutative space-time of DFR-type, that can be obtained as the limiting scale-free case of the original DFR model [1]. The main mathematical interest to study this model is that it is Poincar´e and dilation covariant, thus it possesses almost all the symmetries given by the conformal group. The issue of implementing the remaining symmetry, which is the relativistic ray inversion, is discussed in the concluding section.
    [Show full text]
  • Meetings & Conferences of the AMS, Volume 49, Number 5
    Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website.See http://www.ams.org/meetings/. Programs and abstracts will continue to be displayed on the AMS website in the Meetings and Conferences section until about three weeks after the meeting is over. Final programs for Sectional Meetings will be archived on the AMS website in an electronic issue of the Notices as noted below for each meeting. Niky Kamran, McGill University, Wave equations in Kerr Montréal, Quebec geometry. Rafael de la Llave, University of Texas at Austin, Title to Canada be announced. Centre de Recherches Mathématiques, Special Sessions Université de Montréal Asymptotics for Random Matrix Models and Their Appli- cations, Nicholas M. Ercolani, University of Arizona, and May 3–5, 2002 Kenneth T.-R. McLaughlin, University of North Carolina at Chapel Hill and University of Arizona. Meeting #976 Combinatorial Hopf Algebras, Marcelo Aguiar, Texas A&M Eastern Section University, and François Bergeron and Christophe Associate secretary: Lesley M. Sibner Reutenauer, Université du Québec á Montréal. Announcement issue of Notices: March 2002 Combinatorial and Geometric Group Theory, Olga G. Khar- Program first available on AMS website: March 21, 2002 lampovich, McGill University, Alexei Myasnikov and Program issue of electronic Notices: May 2002 Vladimir Shpilrain, City College, New York, and Daniel Issue of Abstracts: Volume 23, Issue 3 Wise, McGill University. Commutative Algebra and Algebraic Geometry, Irena Deadlines Peeva, Cornell University, and Hema Srinivasan, Univer- For organizers: Expired sity of Missouri-Columbia.
    [Show full text]
  • Scientific Report for the Year 2000
    The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2000 Vienna, ESI-Report 2000 March 1, 2001 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2000 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2000 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2001 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506. [email protected] Director: Peter W. Michor: +43-1-3172047-16. [email protected] Director: Klaus Schmidt: +43-1-3172047-14. [email protected] Administration: Ulrike Fischer, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12, [email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Vaughan F.R. Jones (Berkeley), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 Wolfgang Pauli und die Physik des 20. Jahrhunderts . 3 Summer Session Seminar Sophus Lie . 3 PROGRAMS IN 2000 . 4 Duality, String Theory, and M-theory . 4 Confinement . 5 Representation theory . 7 Algebraic Groups, Invariant Theory, and Applications . 7 Quantum Measurement and Information . 9 CONTINUATION OF PROGRAMS FROM 1999 and earlier . 10 List of Preprints in 2000 . 13 List of seminars and colloquia outside of conferences .
    [Show full text]
  • Dark Matter and Weak Signals of Quantum Spacetime
    PHYSICAL REVIEW D 95, 065009 (2017) Dark matter and weak signals of quantum spacetime † ‡ Sergio Doplicher,1,* Klaus Fredenhagen,2, Gerardo Morsella,3, and Nicola Pinamonti4,§ 1Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale Aldo Moro 5, I-00185 Roma, Italy 2II Institut für Theoretische Physik, Universität Hamburg, D-22761 Hamburg, Germany 3Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133 Roma, Italy 4Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, I-16146 Genova, Italy, and INFN Sezione di Genova, Genova, Italy (Received 29 December 2016; published 13 March 2017) In physically motivated models of quantum spacetime, a Uð1Þ gauge theory turns into a Uð∞Þ gauge theory; hence, free classical electrodynamics is no longer free and neutral fields may have electromagnetic interactions. We discuss the last point for scalar fields, as a way to possibly describe dark matter; we have in mind the gravitational collapse of binary systems or future applications to self-gravitating Bose-Einstein condensates as possible sources of evidence of quantum gravitational phenomena. The effects considered so far, however, seem too faint to be detectable at present. DOI: 10.1103/PhysRevD.95.065009 I. INTRODUCTION but their superpositions would, in general, not be—they would lose energy in favor of mysterious massive modes One of the main difficulties of present-day physics is the (see also [6]). lack of observation of quantum aspects of gravity. Quantum A naive computation showed, by that mechanism, that a gravity has to be searched without a guide from nature; the monochromatic wave train passing through a partially observed universe must be explained as carrying traces of reflecting mirror should lose, in favor of those ghost quantum gravitational phenomena in the only “laboratory” modes, a fraction of its energy—a very small fraction, suitable to those effects, i.e., the universe itself a few unfortunately, of the order of one part in 10−130 [5].
    [Show full text]
  • The Principle of Locality. Effectiveness, Fate and Challenges
    The Principle of Locality. Effectiveness, fate and challenges Sergio Doplicher Dipartimento di Matematica University of Rome “La Sapienza” 00185 Roma, Italy October 26, 2018 Abstract The Special Theory of Relativity and Quantum Mechanics merge in the key principle of Quantum Field Theory, the Principle of Locality. We review some examples of its “unreasonable effectiveness” in giving rise to most of the conceptual and structural frame of Quantum Field Theory, especially in absence of massless particles. This effectiveness shows up best in the formulation of Quantum Field Theory in terms of operator algebras of local observables; this formulation is successful in digging out the roots of Global Gauge Invariance, through the analysis of Superselection Structure and Statistics, in the structure of the local observable quantities alone, at least for purely massive theories; but so far it seems unfit to cope with the Principle of Local Gauge Invariance. This problem emerges also if one attempts to figure out the fate of the Principle of Locality in theories describing the gravitational forces between elementary particles as well. An approach based on the need to keep an operational meaning, in terms of localisation of events, of the notion of Spacetime, shows that, in the small, the latter must loose arXiv:0911.5136v1 [math-ph] 26 Nov 2009 any meaning as a classical pseudoRiemannian manifold, locally based on Minkowski space, but should acquire a quantum structure at the Planck scale. We review the Geometry of a basic model of Quantum Spacetime and some attempts to formulate interaction of quantum fields on Quan- tum Spacetime. The Principle of Locality is necessarily lost at the Planck scale, and it is a crucial open problem to unravel a replacement in such theories which is equally mathematically sharp, namely a Prin- ciple where the General Theory of Relativity and Quantum Mechanics merge, which reduces to the Principle of Locality at larger scales.
    [Show full text]
  • Adiabatic Limits and Renormalization in Quantum Spacetime
    DOTTORATO DI RICERCA IN MATEMATICA XXXII CICLO DEL CORSO DI DOTTORATO Adiabatic limits and renormalization in quantum spacetime Aleksei Bykov A.A. 2019/2020 Docente Guida/Tutor: Prof. D. Guido Relatore: Prof. G. Morsella Coordinatore: Prof. A. Braides Contents 1 Introduction 4 2 Doplicher-Fredenhagen-Roberts Quantum Spacetime 11 2.1 Construction and basic facts . 11 2.2 Quantum fields on the DFR QST and the role of Qµν . 12 2.2.1 More general quantum fields in DFR QST . 13 2.3 Optimally localised states and the quantum diagonal map . 17 3 Perturbation theory for QFT and its non-local generalization 21 3.1 Hamiltonian perturbation theory . 22 3.1.1 Ordinary QFT . 22 3.1.2 Non-local case: fixing HI ............................. 26 3.1.3 Hamiltonian approach: fixing Hint ........................ 35 3.2 Lagrangian perturbation theories . 38 3.3 Yang-Feldman quantizaion . 41 3.4 LSZ reduction . 41 4 Feynman rules for non-local Hamiltonian Perturbation theory 45 5 Lagrangian reformulation of the Hamiltonian Feynman rules 52 6 Corrected propagator 57 7 Adiabatic limit 61 7.1 Weak adiabatic limit and the LSZ reduction . 61 7.1.1 Existence of the weak adiabatic limit . 61 7.1.2 Feynman rules from LSZ reduction . 64 7.2 Strong adiabatic limit . 65 8 Renormalization 68 8.1 Formal renormalization . 68 8.2 The physical renormalization . 71 8.2.1 Dispersion relation renormalisation . 72 8.2.2 Field strength renormalization . 72 8.3 Conluding remarks on renormalisation . 73 9 Conclusions 75 9.1 Summary of the main results . 75 9.2 Outline of further directions .
    [Show full text]
  • David Donoho COMMENTARY 52 Cliff Ord J
    ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society January 2018 Volume 65, Number 1 JMM 2018 Lecture Sampler page 6 Taking Mathematics to Heart y e n r a page 19 h C th T Ru a Columbus Meeting l i t h i page 90 a W il lia m s r e lk a W ca G Eri u n n a r C a rl ss on l l a d n a R na Da J i ll C . P ip her s e v e N ré F And e d e r i c o A rd ila s n e k c i M . E d al Ron Notices of the American Mathematical Society January 2018 FEATURED 6684 19 26 29 JMM 2018 Lecture Taking Mathematics to Graduate Student Section Sampler Heart Interview with Sharon Arroyo Conducted by Melinda Lanius Talithia Williams, Gunnar Carlsson, Alfi o Quarteroni Jill C. Pipher, Federico Ardila, Ruth WHAT IS...an Acylindrical Group Action? Charney, Erica Walker, Dana Randall, by omas Koberda André Neves, and Ronald E. Mickens AMS Graduate Student Blog All of us, wherever we are, can celebrate together here in this issue of Notices the San Diego Joint Mathematics Meetings. Our lecture sampler includes for the first time the AMS-MAA-SIAM Hrabowski-Gates-Tapia-McBay Lecture, this year by Talithia Williams on the new PBS series NOVA Wonders. After the sampler, other articles describe modeling the heart, Dürer's unfolding problem (which remains open), gerrymandering after the fall Supreme Court decision, a story for Congress about how geometry has advanced MRI, “My Father André Weil” (2018 is the 20th anniversary of his death), and a profile on Donald Knuth and native script by former Notices Senior Writer and Deputy Editor Allyn Jackson.
    [Show full text]
  • Meetings & Conferences of the AMS, Volume 48, Number 3
    mtgs.qxp 2/2/01 12:02 PM Page 360 Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on e-MATH. See http://www.ams.org/meetings/. Programs and abstracts will continue to be displayed on e-MATH in the Meetings and Conferences section until about three weeks after the meeting is over. Final programs for Sectional Meetings will be archived on e-MATH in an electronic issue of the Notices as noted below for each meeting. Carl Pomerance, Bell Laboratories - Lucent Technologies, Columbia, South Babe Ruth, Hank Aaron, Paul Erdo˝s, and me (Erdo˝s Memo- Carolina rial Lecture). Special Sessions University of South Carolina Algebraic Structures Associated with Lie Theory, Ben L. March 16–18, 2001 Cox, Elizabeth Jurisich, and Oleg Smirnov, College of Charleston. Meeting #963 Algebras, Lattices, Varieties, George F. McNulty, University Southeastern Section of South Carolina, and Ralph S. Freese and James B. Associate secretary: John L. Bryant Nation, University of Hawaii. Announcement issue of Notices: January 2001 Program first available on e-MATH: February 1, 2001 Analytic Number Theory, Michael A. Filaseta and Ognian Program issue of electronic Notices: April 2001 Trifonov, University of South Carolina, Columbia. Issue of Abstracts: Volume 22, Issue 2 Approximation and Wavelets, Konstantin Oskolkov, Pencho Petrushev, and Vladimir Temlyakov, University Deadlines of South Carolina, Columbia. For organizers: Expired For consideration of contributed papers in Special Ses- Banach Spaces, George Androulakis, Stephen Dilworth, and sions: Expired Maria K.
    [Show full text]
  • January 2002 Prizes and Awards
    January 2002 Prizes and Awards 4:25 p.m., Monday, January 7, 2002 PROGRAM OPENING REMARKS Ann E. Watkins, President Mathematical Association of America BECKENBACH BOOK PRIZE Mathematical Association of America BÔCHER MEMORIAL PRIZE American Mathematical Society LEVI L. CONANT PRIZE American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION Association for Women in Mathematics ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN Association for Women in Mathematics CHAUVENET PRIZE Mathematical Association of America FRANK NELSON COLE PRIZE IN NUMBER THEORY American Mathematical Society AWARD FOR DISTINGUISHED PUBLIC SERVICE American Mathematical Society CERTIFICATES OF MERITORIOUS SERVICE Mathematical Association of America LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION American Mathematical Society LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH American Mathematical Society LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT American Mathematical Society DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF MATHEMATICS Mathematical Association of America CLOSING REMARKS Hyman Bass, President American Mathematical Society MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE The Beckenbach Book Prize, established in 1986, is the successor to the MAA Book Prize. It is named for the late Edwin Beckenbach, a long-time leader in the publica- tions program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is awarded for distinguished, innov- ative books published by the Association. Citation Joseph Kirtland Identification Numbers and Check Digit Schemes MAA Classroom Resource Materials Series This book exploits a ubiquitous feature of daily life, identification numbers, to develop a variety of mathematical ideas, such as modular arithmetic, functions, permutations, groups, and symmetries.
    [Show full text]
  • Rudolf Haag's Legacy of Local Quantum Physics And
    Rudolf Haag’s legacy of Local Quantum Physics and reminiscences about a cherished teacher and friend In memory of Rudolf Haag (1922-2016) submitted to the Eur. Phys. J. H Bert Schroer permanent address: Institut f¨ur Theoretische Physik FU-Berlin, Arnimallee 14, 14195 Berlin, Germany November 2016 Abstract After some personal recollectioms about Rudolf Haag and his thoughts which led him to ”Local Quantum Physics”, the present work recalls his ideas about scattering theory, the relation between local observables and localized fields and his contributions to the physical aspects of modu- lar operator theory which paved the way for an intrisic understanding of quantum causal localization in which fields ”coordinatize” the local algebras. The paper ends with the presentation of string-local fields whose con- struction and use in a new renormalization theory for higher spin fields is part of an ongoing reformulation of gauge theory in the conceptual setting of Haag’s LQP. 1 First encounter with Rudolf Haag arXiv:1612.00003v1 [math-ph] 30 Nov 2016 On his return from the Niels Bohr Institute in Copenhagen to the University of Munich Rudolf Haag passed through Hamburg to meet his colleague Harry Lehmann, at that time the newly appointed successor of Wilhelm Lenz who held the chair of theoretical physics since the 1920 foundation of the University of Hamburg. It was the year 1958 shortly after the decision to construct the DESY particle accelerator in Hamburg which created a lot of excitement. I had nearly completed my diploma thesis under Lehmann and begun to worry about my career.
    [Show full text]
  • Aspects of Holography and Quantum Error Correction by Pratik Rath a Dissertation Submitted in Partial Satisfaction of the Requir
    Aspects of Holography And Quantum Error Correction by Pratik Rath A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Physics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Yasunori Nomura, Chair Professor Raphael Bousso Professor Richard Borcherds Summer 2020 Aspects of Holography And Quantum Error Correction Copyright 2020 by Pratik Rath 1 Abstract Aspects of Holography And Quantum Error Correction by Pratik Rath Doctor of Philosophy in Physics University of California, Berkeley Professor Yasunori Nomura, Chair The holographic principle has been a central theme in most of the progress in the field of quantum gravity in recent years. Our understanding of the AdS/CFT duality, the best known embodiment of the holographic principle, has taken a quantum leap in the last decade. A key role in the elucidation of how the holographic duality functions has been played by ideas from quantum information theory. In particular, the modern understanding of the holographic dictionary is that it works as a quantum error correcting code. In this dissertation, we focus on a two-pronged approach to developing a deeper insight into the framework of quantum gravity. Firstly, despite the fact that we have learnt a lot about quantum gravity from AdS/CFT, it is not directly applicable to our universe which is an accelerating cosmological spacetime. Taking inspiration from the holographic principle and formulating ideas from AdS/CFT in the abstract language of quantum error correction, we take some preliminary steps in freeing ourselves from the crutches of AdS spacetimes and understanding features of holography in a wider class of spacetimes.
    [Show full text]
  • History of RSB Interview: Francesco Guerra January 26, 2021, 8:30Am-10:30Pm (EST)
    History of RSB Interview: Francesco Guerra January 26, 2021, 8:30am-10:30pm (EST). Final revision: May 10, 2021 Interviewers: Patrick Charbonneau, Duke University, [email protected] Francesco Zamponi, ENS-Paris Location: Over Zoom, from Prof. Guerra’s second home in Genova, Italy. How to cite: P. Charbonneau, History of RSB Interview: Francesco Guerra, transcript of an oral history conducted 2021 by Patrick Charbonneau and Francesco Zamponi, History of RSB Project, CAPHÉS, École normale supérieure, Paris, 2021, 27 p. https://doi.org/10.34847/nkl.05bd6npc PC: Hello, Professor Guerra. Thank you very much for joining us. As we've dis- cussed, today we will be mostly discussing the history of replica symmetry breaking in a broad sense. Before we get there, however, we wanted to ask you a few questions about your background and interests. In particular, could you tell us what led you to be interested in physics and to pursue a Laurea degree in theoretical physics? FG: Like many people in Italy, in the first two years of university I was enrolled in engineering, like Ettore Majorana1 for example. Then I found that I was more interested in basic scientific questions, so I decided to shift to phys- ics. It was the start in Naples at the time—it was ‘62—of new, big enter- prises in physics. In Naples, there was the old institute of physics and they were involved mostly in classical physics, spectroscopy, solid state physics, and so on. Then, in the middle of the ‘50s, modern physics underwent an impressive development. My big boss at the time was Eduardo Caianiello2.
    [Show full text]