Flow-gauge Slavnov-Taylor identities for Zwanziger's gauge fixing

Journal Article · Fri Apr 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2340· OSTI ID:5375288

Alvarez-Estrada, R F; Munoz Sudupe, A

The generalization of the Slavnov-Taylor identities for the stochastically quantized Yang-Mills field theory with either Zwanziger gauge fixing or, equivalently, Faddeev-Popov flow-gauge fixing in one higher dimension is presented. Those exact relationships among Green's functions in the stochastically quantized theory are derived by extending suitably Slavnov's method. As a consequence there is no renormalization of the longitudinal part of Green's functions in ..cap alpha.. = 0, to all perturbative orders. Based on the general identities, the divergent longitudinal part of the two-point Green's function is calculated to second order for ..cap alpha.. = 1, and it is found to agree with other independent calculations.

• Research Organization: Departamento de Fisica Teorica, Universidad Complutense, Madrid 28040, Spain
• OSTI ID: 5375288
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
MANY-DIMENSIONAL CALCULATIONS
QUANTIZATION
RENORMALIZATION
STOCHASTIC PROCESSES
YANG-MILLS THEORY