Stochastic quantization for the axial model

Journal Article · Wed May 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3384· OSTI ID:5464602

Farina, C ^[1]; Montani, H ^[2]; Albuquerque, L C ^[1]

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1. Instituto de Fisica, Universidade Federal do Rio de Janeiro, 21945 Rio de Janeiro, Rio de Janeiro, Brazil (BR)
2. Instituto de Fisica, Universidade Federal do Rio de Janeiro, 21945 Rio de Janeiro, Rio de Janeiro, Brazil (BR) Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud 150, 22290 Rio de Janeiro, Rio de Janeiro, Brazil (BR)

We use bosonization ideas to solve the axial model in the stochastic quantization framework. We obtain the fermion propagator of the theory decoupling directly the Langevin equation, instead of the Fokker-Planck equation. In the Appendix we calculate explicitly the anomalous divergence of the axial-vector current by using a regularization that does not break the Markovian character of the stochastic process.

• OSTI ID: 5464602
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BOSON EXPANSION
CURRENTS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
FOKKER-PLANCK EQUATION
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LANGEVIN EQUATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERTURBATION THEORY
PROBABILITY
PROPAGATOR
QUANTIZATION
QUANTUM FIELD THEORY
RIEMANN SPACE
SCALAR FIELDS
SPACE
SPACE-TIME
STATISTICAL MODELS
STOCHASTIC PROCESSES
THERMODYNAMIC MODEL