Statistical Field Theory

An Introduction to Exactly Solved Models in Statistical Physics

Inbunden, Engelska, 2020

2 539 kr

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Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics distinguished for their elegance and beauty, including infinite dimensional algebras, conformal mappings, integral equations and modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail while providing overall coherent understanding of physical phenomena. Mathematical background is made available in supplements at the end of each chapter, when appropriate. The chapters include problems of different levels of difficulty. Advanced undergraduate and graduate students will find this book a rich and challenging source for improving their skills and for attaining a comprehensive understanding of the many facets of the subject.

Produktinformation

Utgivningsdatum2020-03-26
Mått178 x 252 x 55 mm
Vikt2 080 g
FormatInbunden
SpråkEngelska
SerieOxford Graduate Texts
Antal sidor1 018
Upplaga2
FörlagOUP OXFORD
ISBN9780198788102

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Matematisk fysik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Kvantfysik inom Naturvetenskap och teknik

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.

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

Review from previous editionThe 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.