Path Integrals, BRST Identities and Regularization Schemes in Nonstandard Gauges

Details Path Integrals, BRST Identities and Regularization Schemes in Nonstandard Gauges Path Integrals, BRST Identities and Regularization Schemes in Nonstandard Gauges

1998-11-20

arxiv.org/abs/hep-th/9811190v1

Annals Phys. 283 (2000) 57-93

Physics

High Energy Physics

High Energy Physics - Theory

40 pages and 2 figures

Scientific paper

10.1006/aphy.2000.6046

The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to that of Christ-Lee, is discovered. Such kind of terms is found to be instrumental in restoring the invariance of the effective Lagrangian under a field dependent gauge transformation, which underlies the BRST symmetry. A unitary regularization scheme which maintains manifest BRST symmetry and is free from energy divergences is proposed for a nonabelian gauge field.

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