Buch, Englisch, 1018 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 1897 g
An Introduction to Exactly Solved Models in Statistical Physics
Buch, Englisch, 1018 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 1897 g
ISBN: 978-0-19-878810-2
Verlag: Oxford University Press(UK)
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.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Quantenphysik Teilchenphysik
- Naturwissenschaften Physik Quantenphysik Hochenergiephysik
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
Weitere Infos & Material
- 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
