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Absence of Nonlocal Counter-terms in the Gauge Boson Propagator in Axial -type Gauges

Satish. D. Joglekar·A. Misra
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Abstract

We study the two-point function for the gauge boson in the axial-type gauges. We use the exact treatment of the axial gauges recently proposed that is intrinsically compatible with the Lorentz type gauges in the path-integral formulation and has been arrived at from this connection and which is a ``one-vector'' treatment. We find that in this treatment, we can evaluate the two-point functions without imposing any additional interpretation on the axial gauge 1/(n.q)^p-type poles. The calculations are as easy as the other treatments based on other known prescriptions. Unlike the ``uniform-prescription'' /L-M prescription, we note, here, the absence of any non-local divergences in the 2-point proper vertex. We correlate our calculation with that for the Cauchy Principal Value prescription and find from this comparison that the 2-point proper vertex differs from the CPV calculation only by finite terms. For simplicity of treatment, the divergences have been calculated here with n^2>0 and these have a smooth light cone limit.

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Satish. D. Joglekar, A. Misra. 2000-10-11. Absence of Nonlocal Counter-terms in the Gauge Boson Propagator in Axial -type Gauges. https://doi.org/10.1142/s0217751x01004931

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