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

✍ Scribed by Hai-cang Ren


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
258 KB
Volume
283
Category
Article
ISSN
0003-4916

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✦ Synopsis


The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ Lee terms of operator ordering are reproduced within the path integration framework. In the presence of fermions, a new operator term, in addition to that of Christ and Lee, is discovered. Such terms are 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.