Functional-integral approach to Parisi-Wu stochastic quantization: Abelian gauge theory

Journal Article · Fri Mar 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.1349· OSTI ID:5991064

Gozzi, E

The method of Parisi and Wu of quantizing gauge theories (stochastic quantization) is reformulated using path integrals. We first review how the gauge fixing enters through the initial condition of the associated Langevin equation. We then prove, nonperturbatively, how the contribution of the Faddeev-Popov determinant is naturally generated by the Fokker-Planck dynamics without ever having to introduce it by hand. We restrict ourselves in this paper to Abelian gauge theories with nonlinear gauge fixing.

• Research Organization: Max-Planck-Institut fuer Physik und Astrophysik, Werner Heisenberg Institut fuer Physik, Munich, Federal Republic of Germany
• OSTI ID: 5991064
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FEYNMAN PATH INTEGRAL
FOKKER-PLANCK EQUATION
FUNCTIONS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
LANGEVIN EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
PROBABILITY
PROPAGATOR
QUANTIZATION
SPACE-TIME