ABSENCE OF NONLOCAL COUNTERTERMS IN THE GAUGE BOSON PROPAGATOR IN AXIAL-TYPE GAUGES

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/(η·q)qtype poles. The calculations are as easy as the other treatments based on other known prescriptions. Unlike the "uniform-prescription"/LM prescription, we note, here, the absence of any nonlocal divergences in the two-point proper vertex. We correlate our calculation with that for the Cauchy Principal Value prescription and find from this comparison that the two-point proper vertex differs from the CPV calculation only by finite terms. For simplicity of treatment, the divergences have been calculated here with η2> 0 and these have a smooth light cone limit.