Statistical Field Theory

Description

This textbook provides a thorough introduction to phase transitions and exactly solved models in statistical physics and quantum field theory. It covers a broad area from basic concepts of statistical physics and quantum mechanics to latest developments in low dimensional quantum field theories, phase transitions and non-perturbative analysis.

• Comprehensive updated synthesis of statistical physics and quantum field theory
• Introduction to new and powerful methods of analysis
• Ideal combination of physical ideas and mathematical tools
• Mathematical background provided in supplements at end of each chapter

New to this edition

• Four new chapters on Boundary Field Theory, Semiclassical Methods in Bosonic Field Theories, Semiclassical Methods in Fermionic Field Theories, and Truncated Hilbert Space Approach
• Several new sections, including Entanglement Entropy and the LeClair-Mussardo formula
• New references
• New exercises

About the Author(s)

Giuseppe Mussardo, Full Professor in Theoretical Physics, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste- Italy

Giuseppe Mussardo is Full Professor of Theoretical Physics at SISSA (Trieste). He is the founder of the Statistical Physics Group at SISSA, and the chair of several international grants on quantum and statistical systems. He serves as the Scientific Director of the Journal of Statistical Mechanics and Applications (JSTAT). He is a member of the International Institute of Physics in Natal and former Director of the Interdisciplinary Laboratory of Natural Sciences in SISSA. In 2017, he was the Kramers Chair at the Institute for Theoretical Physics in Utrecht. He was awarded the Prize of the Societa' Italiana di Fisica for Science Dissemination in 2013.

Table of Contents

I. Preliminary Notions
1:Introduction
2:One-dimensional Systems
3:Approximate Solutions
II. Bidimensional Lattice Models
4:Duality of the Two-dimensional Ising Model
5:Combinatorial Solutions of the Ising Model
6:Transfer Matrix of the Two-dimensional Ising Model
III. Quantum Field Theory and Conformal Invariance
7:Quantum Field Theory
8:Renormalization Group
9:Fermionic Formulation of the Ising Model
10:Conformal Field Theory
11:Minimal Conformal Models
12:Conformal Field Theory of Free Bosonic and Fermionic Fields
13:Conformal Field Theories with Extended Symmetries
14:The Arena of Conformal Models
IV. Away From Criticality
15:In the Vicinity of the Critical Points
16:Integrable Quantum Field Theories
17:S-Matrix Theory
18:Exact S Matrices
19:Form Factors and Correlation Functions
V. Finite Size Effects
20:Thermodynamical Bethe Ansatz
21:Boundary Field Theory
VI Non-Integrable Aspects
22:Form Factor Perturbation Theory
23:Particle Spectrum by Semi-classical Methods
24:Interacting Fermions and Supersymmetric Models
25:Truncated Hilbert Space Approach

Reviews

"Review from previous edition The book is well suited to provide access into this fascinating field of research and at the same time leads its readers all the way to the forefront of present research. It will provide a solid basis as a textbook for an advanced course in statistical physics, giving the lecturer an ample choice of topics supplemented by problem sets and references to the original literature. " - Holger Frahm, Leibniz University, Hannover

"I am very impressed with the contents of this book, it is certainly needed. The author is a good writer and can explain things well. From the scientific point of view the quality is outstanding. " - Alexei Tsvelik, Brookhaven National Laboratory

"There has been dramatic progress over the last two decades in our understanding of off-critical systems in two dimensions. At present there is no book that explains these developments, which here are tied into the larger framework of statistical mechanics in two dimensions, an area that continues to attract tremendous attention." - Fabian Essler, Oxford University

"The author is an excellent physicist who has contributed very significantly to the field, and has always shown a passion for pedagogy. He is one of a handful of people who look beyond formal theory and think in terms of physics, always trying to push the boundaries of our knowledge. I am sure this book will become a most useful and successful text for graduate students and researchers. " - Hubert Saleur, University of Southern California