Stochastic quantization of Yang-Mills field theory: Gauge-fixing parameter dependence and equilibrium limit

Journal Article · Wed Jul 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.510· OSTI ID:6005328

Muoz Sudupe, A; Fernandez, L A

We calculate, in the framework of stochastic quantization, the one-loop-divergent part of the gluon self-energy and the triple-gluon vertex of pure Yang-Mills field theory, with an arbitrary choice of the stochastic gauge-fixing parameter. This allows us to check that the strong conditions imposed by renormalizability are satisfied up to one-loop order. We compare our results with those coming from the Faddeev-Popov theory and discuss the relationship between both approaches in the equilibrium limit.

• Research Organization: Departamento de Fsica Teorica, Universidad Complutense de Madrid, 28040 Madrid, Spain
• OSTI ID: 6005328
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
ENERGY
EUCLIDEAN SPACE
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTIZATION
RENORMALIZATION
RIEMANN SPACE
SELF-ENERGY
SPACE
STOCHASTIC PROCESSES
YANG-MILLS THEORY