Instantons and Large N
Instantons and Large N

Author: Marcos Mariño

Publisher: Cambridge University Press

Published: 2015-09-03

Total Pages: 381

ISBN-13: 1316368548

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This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.

Non-Perturbative Field Theory
Non-Perturbative Field Theory

Author: Yitzhak Frishman

Publisher: Cambridge University Press

Published: 2010-04-08

Total Pages: 455

ISBN-13: 1139486489

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Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.

The Large N Expansion In Quantum Field Theory And Statistical Physics
The Large N Expansion In Quantum Field Theory And Statistical Physics

Author: Edouard Brezin

Publisher: World Scientific

Published: 1993-08-31

Total Pages: 1149

ISBN-13: 981450663X

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This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.

From Quarks and Gluons to Quantum Gravity
From Quarks and Gluons to Quantum Gravity

Author: Antonino Zichichi

Publisher: World Scientific

Published: 2003

Total Pages: 449

ISBN-13: 9812796657

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In August/September 2002, a group of 78 physicists from 50 laboratories in 17 countries met in Erice, Italy, to participate in the 40th Course of the International School of Subnuclear Physics. The purpose of the School was to focus attention on the theoretical and phenomenological developments in gauge theories, as well as in all the other sectors of subnuclear physics. Experimental highights from the most relevant sources of new data were presented and discussed, including the latest news on theoretical developments in quantizing the gravitational forces. This volume constitutes the proceedings of the School. It is dedicated to the memory of Victor Frederick Weisskopf, a founder OCo together with John Stewart Bell, Patrick Maynard Stuart Blackett and Isidor Isaac Rabi OCo of the OC Ettore MajoranaOCO Centre for Scientific Culture, this School being the first of its 114 Schools now in existence. Contents: Mini-Courses on Basics: Physics of QCD Instantons (E V Shuryak); Confinement and Duality (M J Strassler); Status of Super String Theory (E Verlinde); Perturbative Quantum Gravity (G ''t Hooft); Experimental Highlights: Highlights from Gran Sasso Laboratory (A Bettini); Experimental Highlights from Super-Kamiokande (Y Totsuka); The Fermilab Experimental Physics Program (R Tschirhardt); Special Sessions for New Talents: Application of the Large- N c Limit to a Chiral Lagrangian with Resonances (O Cata); Towards the Finite Temperature Gluon Propagator in Landau Gauge YangOCoMills Theory (A Maas); Hermes Measurements of the Nucleon Spin Structure (J Wendland); and other papers. Readership: High energy, experimental and theoretical physicists."

Instantons in Gauge Theories
Instantons in Gauge Theories

Author: M. Shifman

Publisher: World Scientific

Published: 1994

Total Pages: 506

ISBN-13: 9789810218263

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This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical perspective how the instanton solution has been found, the motivation behind it and how the physical meaning of instantons has been revealed. Other papers are devoted to different aspects of instanton formalism including instantons in supersymmetric gauge theories. A few unsolved problems associated with instantons are described in great detail. The papers are organized into several sections that are linked both logically and historically, accompanied by extensive comments.

Instantons In Gauge Theories
Instantons In Gauge Theories

Author: Misha Shifman

Publisher: World Scientific

Published: 1994-07-15

Total Pages: 501

ISBN-13: 9814502316

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This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical perspective how the instanton solution has been found, the motivation behind it and how the physical meaning of instantons has been revealed. Other papers are devoted to different aspects of instanton formalism including instantons in supersymmetric gauge theories. A few unsolved problems associated with instantons are described in great detail. The papers are organized into several sections that are linked both logically and historically, accompanied by extensive comments.

Resurgence, Physics and Numbers
Resurgence, Physics and Numbers

Author: Frédéric Fauvet

Publisher: Springer

Published: 2017-11-17

Total Pages: 390

ISBN-13: 8876426132

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This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.

Nonperturbative Topological Phenomena in QCD and Related Theories
Nonperturbative Topological Phenomena in QCD and Related Theories

Author: Edward Shuryak

Publisher: Springer Nature

Published: 2021-03-25

Total Pages: 529

ISBN-13: 3030629902

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This book introduces a variety of aspects in nonperturbative Quantum Chromodynamics (QCD), focusing on the topological objects present in gauge theories. These objects, like magnetic monopoles, instantons, instanto-dysons, sphalerons, QCD flux tubes, etc, are first introduced individually and, later, treated collectively. As ensembles, they produce various phenomena that can be modeled numerically in lattice gauge theories and such collective effects, produced on the lattice, are extensively discussed in some chapters. In turn, the notion of duality, which is crucial in modern field/string theories, is elucidated by taking into consideration the electric-magnetic duality, the Poisson duality, and the AdS/CFT duality. This monograph is based on various lectures given by Edward Shuryak at Stony Brook during the last three decades and it is meant for advanced graduate students and young researchers in theoretical and mathematical physics who are willing to consolidate their knowledge in the topological phenomena encountered in fundamental QCD research.

Strings 2001
Strings 2001

Author: Atish Dabholkar

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 514

ISBN-13: 9780821829813

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String theory, sometimes called the ``Theory of Everything'', has the potential to provide answers to key questions involving quantum gravity, black holes, supersymmetry, cosmology, singularities and the symmetries of nature. This multi-authored book summarizes the latest results across all areas of string theory from the perspective of world-renowned experts, including Michael Green, David Gross, Stephen Hawking, John Schwarz, Edward Witten and others. The book comes out of the``Strings 2001'' conference, organized by the Tata Institute for Fundamental Research (Mumbai, India), the Abdus Salam ICTP (Trieste, Italy), and the Clay Mathematics Institute (Cambridge, MA, USA). Individual articles discuss the study of D-branes, black holes, string dualities, compactifications,Calabi-Yau manifolds, conformal field theory, noncommutative field theory, string field theory, and string phenomenology. Numerous references provide a path to previous findings and results. Written for physicists and mathematicians interested in string theory, the volume is a useful resource for any graduate student or researcher working in string theory, quantum field theory, or related areas.

From The Planck Length To The Hubble Radius, Sep 98, Italy
From The Planck Length To The Hubble Radius, Sep 98, Italy

Author: Antonino Zichichi

Publisher: World Scientific

Published: 2000-05-24

Total Pages: 710

ISBN-13: 9814543128

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From August to September 1998, a group of 75 physicists from 52 laboratories in 15 countries met in Erice, Italy, for the 36th Course of the International School of Subnuclear Physics. This book constitutes the proceedings of that meeting. It reviews the present status of subnuclear physics and its connections with the fundamental problems of physics, such as the unification of all gauge forces.