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Field-Dependent BRS Tranformations and Correct Prescription for 1/(n.k)^p-Type Singularities in Axial Gauges

A. Misra
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Abstract

The axial-gauge boson propagator contains 1/(n.k)^p-type singularities. These singularities have generally been treated by inventing prescriptions for them. We propose an alternative procedere for treating these singularities in the path-integral formalism using the known way of treating the 1/k^{2n}-type singularities in Lorentz-type gauges. For this purpose we use a finite field-dependent BRS transformation that inerpolates between the Lorentz and axial-type gauges. We arrive at the ε-dependent tree propagator in axial-type gauges.

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A. Misra. 2000-04-03. Field-Dependent BRS Tranformations and Correct Prescription for 1/(n.k)^p-Type Singularities in Axial Gauges. https://arxiv.org/abs/hep-th/0004007

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