Quantum Fields And Strings
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Quantum Fields And Strings A Course For Mathematicians
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Author : Pierre Deligne
language : en
Publisher: American Mathematical Society
Release Date : 2000-04-27
Quantum Fields And Strings A Course For Mathematicians written by Pierre Deligne and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-27 with Mathematics categories.
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
Quantum Fields And Strings
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Author : PIERRE DELIGNE
language : en
Publisher:
Release Date : 1999-12-31
Quantum Fields And Strings written by PIERRE DELIGNE and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-31 with Science categories.
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: ``The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra.'' These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.
Gauge Fields And Strings
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Author : Polyakov
language : en
Publisher: Routledge
Release Date : 2018-05-02
Gauge Fields And Strings written by Polyakov and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Quantum Fields And Strings A Course For Mathematicians
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Author : Pierre Deligne
language : en
Publisher: American Mathematical Society
Release Date : 1999-10-25
Quantum Fields And Strings A Course For Mathematicians written by Pierre Deligne and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-25 with Mathematics categories.
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
Quantum Fields And Strings
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Author : Pierre Deligne
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-01-01
Quantum Fields And Strings written by Pierre Deligne and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Science categories.
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: "The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra." These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.
Fields Strings And Critical Phenomena
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Author : E. Brézin
language : en
Publisher: Elsevier Science & Technology
Release Date : 1990
Fields Strings And Critical Phenomena written by E. Brézin and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Hardbound. This session of the Summer School in Theoretical Physics concentrated on the recent advances in areas of physics ranging from (super)strings to field theory and statistical mechanics. The articles contained in this volume provide a stimulating and up-to-date account of a rapidly growing subject.Discussion focussed on the many points of convergence between field theory and statistical mechanics: conformal field theory, field theory on a lattice, the study of strongly correlated electron systems, as in the Hubbard model, leading to topological Lagrangians, which are perhaps the key of the understanding of high Tc superconductivity or the fractional quantum Hall effect. The critical phenomena in (1+1) dimensions, in the domain in which quantum fluctuations are strong, are described for antiferromagnetic couplings by relativistic theories in which the methods of abelian or non-abelian bosonization are particularly powerful.
Fields Strings And Quantum Gravity
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Author : Hanying Guo
language : en
Publisher: CRC Press
Release Date : 1990
Fields Strings And Quantum Gravity written by Hanying Guo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
One of the recent problems in theoretical physics is that the glamorous new string theory is just too elegant, too sublime, to associate with sloppy old reality. Some progress has been made at making string theory compatible with other theories--quantum gravity and conventional field theory--but it is unclear how to verify and examine the conjugation experimentally. The ten papers here struggle with the mechanics of applying theory to practice. From a symposium in Beijing, which was interrupted on June 4th by people down in Tiananmen Square struggling with the same problem in a different field of endeavor. Book club price, $30. Annotation copyrighted by Book News, Inc., Portland, OR
Quantum Field Theory And String Theory
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Author : L. Baulieu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Field Theory And String Theory written by L. Baulieu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The Cargese Workshop "Quantum Field Theory and String Theory" was held from May 10 to May 21, 1993. The broad spectrum of the work presented at the Workshop was the reflec tion of a time of intensive search for new ways of solving some of the most fun damental problems in string theory, quantum gravity and non-perturbative field theory. A number of talks indicated the emergence of new promising domains of investigation. It is this very diversity of topics which, in our opinion, represents one of the most attractive features of the present volume which we hope will provide a good orientation in the abundant flow of ideas and publications in modern quantum field theory. Many contributions to the present proceedings are concerned with two di mensional quantum field theory. The continuous advances in the domain of two dimensional integrable theories on the lattice as well as in the continuum, including conformal field theories, Liouville field theory and matrix models of two dimensional quantum gravity are very well represented. Other papers address physically realistic (and therefore very complicated) problems like de veloped turbulence, the Hofstadter problem, higher dimensional gravity and phenomenological strings. A new elegant class of topological field theories is presented. New ideas in the string representation of multicolor quantum chromo dynamics were widely discussed at the Workshop, more particularly the example of the exactly solvable two dimensional case.
Quantum Field Theory Ii
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Author : Edouard B. Manoukian
language : en
Publisher: Springer
Release Date : 2016-09-26
Quantum Field Theory Ii written by Edouard B. Manoukian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Science categories.
This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory.
Quantum Field Theory Of Point Particles And Strings
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Author : Brian Hatfield
language : en
Publisher: Hachette UK
Release Date : 1998-04-23
Quantum Field Theory Of Point Particles And Strings written by Brian Hatfield and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-23 with Science categories.
The purpose of this book is to introduce string theory without assuming any background in quantum field theory. Part I of this book follows the development of quantum field theory for point particles, while Part II introduces strings. All of the tools and concepts that are needed to quantize strings are developed first for point particles. Thus, Part I presents the main framework of quantum field theory and provides for a coherent development of the generalization and application of quantum field theory for point particles to strings.Part II emphasizes the quantization of the bosonic string. The treatment is most detailed in the path integral representation where the object of interest, the partition function, is a sum over random surfaces. The relevant mathematics of Riemann surfaces is covered. Superstrings are briefly introduced, and the sum over genus 0 supersurfaces is computed.The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schrödinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory.