Quantum field theory and critical phenomena /
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| Author / Creator: | Zinn-Justin, Jean |
|---|---|
| Imprint: | Oxford : Clarendon Press ; New York : Oxford University Press, 1989. |
| Description: | xxii, 914 p. ; 25 cm. |
| Language: | English |
| Series: | The International series of monographs on physics ; no. 77 International series of monographs on physics (Oxford, England) 77. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1001890 |
Table of Contents:
- Algebraic preliminaries
- Euclidean path integrals in quantum mechanics
- Path integrals in quantum mechanics: generalizations
- Stochastic differential equations: Langevin, Fokker-Planck equations
- Functional integrals in field theory
- Generating functionals of correlation functions: loopwise expansion
- Divergencies in perturbation theory, power counting
- Regularization methods
- Introduction to renormalization theory, renormalization group equations
- Dimensional regularization and minimal subtraction: calculation of RG functions
- Renormalization of composite operators: short distance expansion
- Linearly realized symmetries and renormalization
- Non-linearly realized symmetries: the example of the non-linear sigma model
- Models on homogeneous spaces in two dimensions
- Symmetric spaces: non-local conservation laws, renormalization group
- Slavnov-Taylor and BRS symmetry: stochastic field equations
- Renormalization and stochastic field equations: supersymmetry
- Abelian gauge theory
- Non-abelian gauge theories: introduction
- The standard model: anomalies
- Renormalization of gauge theories: general formalism
- Critical phenomena: general considerations
- Mean field theory for ferromagnetic systems
- General renormalization group analysis: the critical theory near dimension four
- Scaling behaviour in the critical domain
- Corrections to scaling behaviour
- Calculation of universal quantities
- The (O2)2 field theory in large N limit
- Ferromagnetic order at low temperature: the non-linear sigma -model
- A few two-dimensional models: Bosonization technique
- O(2) non-linear sigma-model
- Critical properties of gauge theories
- Large momentum behaviour in field theory
- Critical dynamics
- Field theory in a finite geometry: finite size scaling
- Instantons in quantum mechanics: the anharmonic oscillator
- Quantum mechanics: generalization
- Unstable vacua in field theory
- Degenerate classical minima and instantons
- Perturbation theory at large orders and instantons
- The O4 field theory in dimension four
- Fermions and large order behaviour
- Multi instantons in quantum mechanics
- Index
