Author: David Anthony Lowe
Publisher:
ISBN:
Category :
Languages : en
Pages : 240

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Author: David J Gross
Publisher: World Scientific
ISBN: 9814556300
Category :
Languages : en
Pages : 256

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Book Description
In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD.Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this book.

Author: Juan Manuel García-Islas
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Steven Carlip
Publisher: Cambridge University Press
ISBN: 9780521545884
Category : Science
Languages : en
Pages : 296

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Book Description
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Author: C Itzykson
Publisher: World Scientific
ISBN: 9814507598
Category :
Languages : en
Pages : 992

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Book Description
This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Author: Elcio Abdalla
Publisher: World Scientific
ISBN: 9812810153
Category : Science
Languages : en
Pages : 834

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Book Description
The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."

Author: Adrian R. Cooper
Publisher:
ISBN:
Category :
Languages : en
Pages : 274

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Book Description

Author: Édouard Brezin
Publisher: Springer Science & Business Media
ISBN: 140204531X
Category : Science
Languages : en
Pages : 519

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Book Description
Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.

Author: David Gross
Publisher:
ISBN: 9789814538992
Category : SCIENCE
Languages : en
Pages : 240

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Book Description

Author: Karyn Maureen Apfeldorf
Publisher:
ISBN:
Category :
Languages : en
Pages : 176

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Book Description