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.
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.
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.
Inhaltsangabe
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
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
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