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