Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Thermodynamics and Statistical Mechanics Review
- 2 The Ising Model in d = 0 and d = 1
- 3 Statistical to Quantum Mechanics
- 4 Quantum to Statistical Mechanics
- 5 The Feynman Path Integral
- 6 Coherent State Path Integrals for Spins, Bosons, and Fermions
- 7 The Two-Dimensional Ising Model
- 8 Exact Solution of the Two–Dimensional Ising Model
- 9 Majorana Fermions
- 10 Gauge Theories
- 11 The Renormalization Group
- 12 Critical Phenomena: The Puzzle and Resolution
- 13 Renormalization Group for the ϕ4 Model
- 14 Two Views of Renormalization
- 15 Renormalization Group for Non-Relativistic Fermions: I
- 16 Renormalization Group for Non-Relativistic Fermions: II
- 17 Bosonization I: The Fermion–Boson Dictionary
- 18 Bosonization II: Selected Applications
- 19 Duality and Triality
- 20 Techniques for the Quantum Hall Effect
- Index
- References
8 - Exact Solution of the Two–Dimensional Ising Model
Published online by Cambridge University Press: 24 October 2017
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Thermodynamics and Statistical Mechanics Review
- 2 The Ising Model in d = 0 and d = 1
- 3 Statistical to Quantum Mechanics
- 4 Quantum to Statistical Mechanics
- 5 The Feynman Path Integral
- 6 Coherent State Path Integrals for Spins, Bosons, and Fermions
- 7 The Two-Dimensional Ising Model
- 8 Exact Solution of the Two–Dimensional Ising Model
- 9 Majorana Fermions
- 10 Gauge Theories
- 11 The Renormalization Group
- 12 Critical Phenomena: The Puzzle and Resolution
- 13 Renormalization Group for the ϕ4 Model
- 14 Two Views of Renormalization
- 15 Renormalization Group for Non-Relativistic Fermions: I
- 16 Renormalization Group for Non-Relativistic Fermions: II
- 17 Bosonization I: The Fermion–Boson Dictionary
- 18 Bosonization II: Selected Applications
- 19 Duality and Triality
- 20 Techniques for the Quantum Hall Effect
- Index
- References
- Type
- Chapter
- Information
- Quantum Field Theory and Condensed MatterAn Introduction, pp. 114 - 142Publisher: Cambridge University PressPrint publication year: 2017
References
[1] , Physical Review, 65, 117 (1944). A must-read, even if you cannot follow all the details, to understand how it inspires awe in all those who behold it.CrossRef
[2] , , and , Reviews of Modern Physics, 36, 856 (1964). This is Onsager for the rest of us.CrossRef
[3] and , Physical Review B, 36, 536 (1987). For an extension and a minor correction to Eq. (2.16) of this paper, Eq. (8.53) in this book, see [4].CrossRef
[4] and , Physical Review Letters, 70 (1993).
[6] , in Critical Phenomena, ed. , Lecture Notes in Physics 186, Springer (1983).
[7] Physical Review, 85, 808 (1952).