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
15 - Renormalization Group for Non-Relativistic Fermions: I
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. 285 - 304Publisher: Cambridge University PressPrint publication year: 2017
References
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[11] , The Oxford Solid State Basics, Oxford University Press (2013).
[12] and , Fundamentals of Condensed Matter Physics, Cambridge University Press (2016).
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[17] and , Physical Review 150, 321 (1976).
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[19] and , Journal of Mathematical Physics, 6, 304 (1965). The model posed by Luttinger was correctly interpreted and solved in this paper.CrossRef
[20] and , Physical Review Letters 67, 3852 (1991).