Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- Part Three Many-Body Physics
- 13 Many-Body Physics and Second Quantization
- 14 The Interacting Electron Gas
- 15 Green Functions for Many-Body Systems and Feynman Diagrams
- 16 Path Integrals
- 17 Boson Systems: Bose–Einstein Condensation and Superfluidity
- 18 Landau Fermi Liquid Theory
- 19 Non-Fermi Liquids, the Luttinger Liquid, and Bosonization
- 20 Electron–Phonon Interactions
- 21 Microscopic Theory of Conventional Superconductivity
- 22 Quantum Theory of Magnetism: Exchange Coupling Mechanisms
- 23 Quantum Theory of Magnetism: Magnetic Insulator Ground States and Spin-Wave Excitations
- 24 Quantum Theory of Magnetism: Itinerant-Electron Systems and the Kondo Effect
- References
- Index
16 - Path Integrals
from Part Three - Many-Body Physics
Published online by Cambridge University Press: 06 March 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- Part Three Many-Body Physics
- 13 Many-Body Physics and Second Quantization
- 14 The Interacting Electron Gas
- 15 Green Functions for Many-Body Systems and Feynman Diagrams
- 16 Path Integrals
- 17 Boson Systems: Bose–Einstein Condensation and Superfluidity
- 18 Landau Fermi Liquid Theory
- 19 Non-Fermi Liquids, the Luttinger Liquid, and Bosonization
- 20 Electron–Phonon Interactions
- 21 Microscopic Theory of Conventional Superconductivity
- 22 Quantum Theory of Magnetism: Exchange Coupling Mechanisms
- 23 Quantum Theory of Magnetism: Magnetic Insulator Ground States and Spin-Wave Excitations
- 24 Quantum Theory of Magnetism: Itinerant-Electron Systems and the Kondo Effect
- References
- Index
Summary
Presents functional integral methods of quantum many-body theory. Starting with Feynman’s path integral, it develops functional integrals of partition functions in imaginary time and extends these techniques to many-body systems. It expands the formulation in the coherent-state basis, and describes the application of the Hubbard–Stratononvich transformation and the saddle-point approximation.
Keywords
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- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 518 - 541Publisher: Cambridge University PressPrint publication year: 2020