Non-perturbative Methods In 2 Dimensional Quantum Field Theory (2nd Edition)

Elcio Abdalla, Maria Cristina Batoni Abdalla, Klaus D Rothe

• Publisher: World Scientific
• Year: 2001
• Print ISBN: 9789810245962, 9789810245962
• eBook ISBN: 9789812810151
• Edition: 2
• Topic: Physical Sciences
• Subtopic: Physics
• Index: Physics

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.

Table of contents

• Contents
• 1 Introduction
• 2 Free Fields
• 3 The Thirring model
• 4 Determinants and Heat Kernels
• 5 Self-Interacting fermionic models
• 6 Non-linear o Models: Classical Aspects
• 7 Non-linear o Models - Quantum Aspects
• 8 Exact S-matrices of 2D Models
• 9 The Wess-Zumino-Witten Theory
• 10 QED2: Operator Approach
• 11 Quantum Chromodynamics
• 12 QED2: Functional Approach
• 13 The Finite Temperature Schwinger Model
• 14 Non-Abelian Chiral Gauge Theories
• 15 Chiral Quantum Electrodynamics
• 16 Conformally Invariant Field Theory
• 17 Conformal Field Theory with Internal Symmetry
• 18 2D gravity and string related topics
• 19 Final Remarks
• Appendices
• Index