Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-04
Int.J.Mod.Phys. A17 (2002) 1279-1300
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 20 pages,minor corrections in eq.(4.6)-(4.8)
Scientific paper
10.1142/S0217751X02006110
We discuss the Coulomb propagator in the formalism developed recently in which we construct the Coulomb gauge path-integral by correlating it with the well-defined Lorentz gauge path-integrals through a finite field-dependent BRS transformation. We discover several features of the Coulomb gauge from it. We find that the singular Coulomb gauge HAS to be treated as the gauge parameter lambda --> 0 limit. We further find that the propagator so obtained has good high energy behavior (k_0^{-2}) for lambda and epsilon nonzero. We further find that the behavior of the propagator so obtained is sensitive to the order of limits k_0 -->infinity, lambda -->0 and epsilon --> 0; so that these have to be handled carefully in a higher loop calculation. We show that we can arrive at the result of Cheng and Tsai for the ambiguous two loop Feynman integrals without the need for an extra ad hoc regularization and within the path integral formulation.
Joglekar Satish D.
Mandal Bhabani Prasad
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