Quantum field theory of many-body systems : from the origin of sound to an origin of light and electrons /
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| Author / Creator: | Wen, Xiao-Gang. |
|---|---|
| Imprint: | Oxford : Oxford University Press, 2007. |
| Description: | 1 online resouece (xiii, 505 p.) : ill. |
| Language: | English |
| Series: | Oxford graduate texts Oxford graduate texts |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7995963 |
Table of Contents:
- 1. Introduction
- 1.1. More is different
- 1.2. 'Elementary' particles and physics laws
- 1.3. Corner-stones of condensed matter physics
- 1.4. Topological order and quantum order
- 1.5. Origin of light and fermions
- 1.6. Novelty is more important than correctness
- 1.7. Remarks: evolution of the concept of elementary particles
- 2. Path integral formulation of quantum mechanics
- 2.1. Semiclassical picture and path integral
- 2.2. Linear responses and correlation functions
- 2.3. Quantum spin, the Berry phase, and the path integral
- 2.4. Applications of the path integral formulation
- 3. Interacting boson systems
- 3.1. Free boson systems and second quantization
- 3.2. Mean-field theory of a superfluid
- 3.3. Path integral approach to interacting boson systems
- 3.4. Superfluid phase at finite temperatures
- 3.5. Renormalization group
- 3.6. Boson superfluid to Mott insulator transition
- 3.7. Superfluidity and superconductivity
- 3.8. Perturbative calculation of the thermal potential
- 4. Free fermion systems
- 4.1. Many-fermion systems
- 4.2. Free fermion Green's function
- 4.3. Two-body correlation functions and linear responses
- 4.4. Quantized Hall conductance in insulators
- 5. Interacting fermion systems
- 5.1. Orthogonality catastrophe and X-ray spectrum
- 5.2. Hartree-Fock approximation
- 5.3. Landau Fermi liquid theory
- 5.4. Perturbation theory and the validity of Fermi liquid theory
- 5.5. Symmetry-breaking phase and the spin-density-wave state
- 5.6. Nonlinear [sigma]-model
- 6. Quantum gauge theories
- 6.1. Simple gauge theories
- 6.2. Z[subscript 2] lattice gauge theory
- 6.3. U(1) gauge theory and the XY-model in 1 + 2 dimensions
- 6.4. The quantum U(1) gauge theory on a lattice
- 7. Theory of quantum Hall states
- 7.1. The Aharonov-Bohm effect and fractional statistics
- 7.2. The quantum Hall effect
- 7.3. Effective theory of fractional quantum Hall liquids
- 7.4. Edge excitations in fractional quantum Hall liquids
- 8. Topological and quantum order
- 8.1. States of matter and the concept of order
- 8.2. Topological order in fractional quantum Hall states
- 8.3. Quantum orders
- 8.4. A new classification of orders
- 9. Mean-field theory of spin liquids and quantum order
- 9.1. Projective construction of quantum spin-liquid states
- 9.2. The SU(2) projective construction
- 9.3. Topological orders in gapped spin-liquid states
- 9.4. Quantum orders in symmetric spin liquids
- 9.5. Continuous phase transitions without symmetry breaking
- 9.6. The zoo of symmetric spin liquids
- 9.7. Physical measurements of quantum orders
- 9.8. The phase diagram of the J[subscript 1]-J[subscript 2] model in the large-N limit
- 9.9. Quantum order and the stability of mean-field spin liquids
- 9.10. Quantum order and gapless gauge bosons and fermions
- 10. String condensation-an unification of light and fermions
- 10.1. Local bosonic models
- 10.2. An exactly soluble model from a projective construction
- 10.3. Z[subscript 2] spin liquids and string-net condensation
- 10.4. Classification of string-net condensations
- 10.5. Emergent fermions and string-net condensation
- 10.6. The quantum rotor model and U(1) lattice gauge theory
- 10.7. Emergent light and electrons from an SU(N[subscript f]) spin model
- Index