1/ N expansion of the nonlinear. sigma. model and its renormalization through stochastic quantization
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Instituto de Fisica da Universidade de Sao Paulo, Departamento de Fisica Matematica, Caixa Postal 20516-Sao Paulo, Sao Paulo (Brazil)
The 1/{ital N} expansion of the nonlinear {sigma} model is considered in the framework of Parisi-Wu stochastic quantization. The expansion is implemented both in the Langevin approach and also in the functional-integral representation of stochastic processes. Whereas in the first method quantization is possible only by means of an artifice, the functional-integral approach is straightforward and, thanks to a graphical Ward identity and the Becchi-Rouet-Stora-Tyutin symmetry characteristic of the formulation, we show the renormalizability of the model in two and three dimensions.
- OSTI ID:
- 7173909
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 46:6; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SIGMA MODEL
RENORMALIZATION
CORRELATION FUNCTIONS
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
LANGEVIN EQUATION
NONLINEAR PROBLEMS
QUANTIZATION
STOCHASTIC PROCESSES
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
ULTRAVIOLET DIVERGENCES
WARD IDENTITY
BOSON-EXCHANGE MODELS
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
SIGMA MODEL
RENORMALIZATION
CORRELATION FUNCTIONS
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
LANGEVIN EQUATION
NONLINEAR PROBLEMS
QUANTIZATION
STOCHASTIC PROCESSES
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
ULTRAVIOLET DIVERGENCES
WARD IDENTITY
BOSON-EXCHANGE MODELS
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)