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

Journal Article · Fri Mar 15 00:00:00 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), Vol. 31:6
• Country of Publication: United States
• Language: English

Related Subjects

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