Integrable Systems in Quantum Field Theory and Statistical Mechanics
| Author | : M. Jimbo |
| Publisher | : Elsevier |
| Total Pages | : 695 |
| Release | : 2014-05-19 |
| Genre | : Science |
| ISBN | : 1483295257 |
Integrable Sys Quantum Field Theory
Conformal Field Theories And Integrable Models
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Proceedings of the International Congress of Mathematicians
| Author | : S.D. Chatterji |
| Publisher | : Birkhäuser |
| Total Pages | : 1669 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034890788 |
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)
Conformal Field Theory
| Author | : Sergei V Ketov |
| Publisher | : World Scientific |
| Total Pages | : 502 |
| Release | : 1995-02-28 |
| Genre | : Science |
| ISBN | : 9814502529 |
Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and “conformal” intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.
Non-Perturbative Field Theory
| Author | : Yitzhak Frishman |
| Publisher | : Cambridge University Press |
| Total Pages | : 455 |
| Release | : 2010-04-08 |
| Genre | : Science |
| ISBN | : 1139486489 |
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.
Conformal Field Theory
| Author | : Philippe Francesco |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 908 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461222567 |
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
An Introduction to Integrable Techniques for One-Dimensional Quantum Systems
| Author | : Fabio Franchini |
| Publisher | : Springer |
| Total Pages | : 186 |
| Release | : 2017-05-25 |
| Genre | : Science |
| ISBN | : 3319484877 |
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Conformal Field Theories and Integrable Models
| Author | : Zalan Horvath |
| Publisher | : Springer |
| Total Pages | : 272 |
| Release | : 1997-11-18 |
| Genre | : Computers |
| ISBN | : |
In the last few years we have witnessed an upsurge of interest in exactly solvable quantum field theoretical models in many branches of theoretical physics ranging from mathematical physics through high-energy physics to solid states. This book contains six pedagogically written articles meant as an introduction for graduate students to this fascinating area of mathematical physics. It leads them to the front line of present-day research. The topics include conformal field theory and W algebras, the special features of 2d scattering theory as embodied in the exact S matrices and the form factor studies built on them, the Yang--Baxter equations, and the various aspects of the Bethe Ansatz systems.
40 Years In Mathematical Physics
| Author | : Ludvig Dmitrievich Faddeev |
| Publisher | : World Scientific |
| Total Pages | : 483 |
| Release | : 1995-10-09 |
| Genre | : Science |
| ISBN | : 9814500704 |
This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.
Physics and Mathematics of Strings
| Author | : Lars Brink |
| Publisher | : World Scientific |
| Total Pages | : 616 |
| Release | : 1990 |
| Genre | : Science |
| ISBN | : 9789971509804 |
Vadim Knizhnik was one of the most promising theoretical physicists in the world. Unfortunately, he passed away at the very young age of 25 years. This memorial volume is to honor his contributions in Theoretical Physics. This is perhaps one of the most important collections of articles on the theoretical developments in String Theory, Conformal Field Theory and related topics. It consists of contributions from world-renowned physicists who have met Vadim Knizhnik personally and whom the late Knizhnik really respected. The contributions are systematic and pedagogical in format.
A Mathematical Introduction to Conformal Field Theory
| Author | : Martin Schottenloher |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 153 |
| Release | : 2008-09-15 |
| Genre | : Science |
| ISBN | : 3540706909 |
Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. Part II surveys more advanced topics of conformal field theory such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.
