CORRECT TREATMENT OF $\bm{{1\over (\eta\cdot{\lc{k}})^{\lc{p}}}}$ SINGULARITIES IN THE AXIAL GAUGE PROPAGATOR

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

We study the two-point function for the gauge boson in the axialtype 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 witho...

ep - t h / 99 09 12 3 v 1 1 7 Se p 19 99 Correct Treatment of 1 ( η · k ) p Singularities in the Axial Gauge Propagator Satish

General Infrared and Ultra - Violet Properties of the Gluon Propagator in Axial Gauge

- Type Singularities in Axial Gauges

The axial-gauge boson propagator contains 1/(η · k) p-type singularities. These singualarities 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 BR...

0 Wilson Loop and the Treatment of Axial Gauge Poles

We consider the question of gauge invariance of the Wilson loop in the light of a new treatment of axial gauge propagator proposed recently based on a finite field-dependent BRS (FFBRS) transformation. We remark that as under the FFBRS transformation the vacuum expectation value of a gauge invariant observable remains unchanged, our prescription automatically satisfies the Wilson loop criterion...