Schwinger Mechanism for Gluon Pair Production in the Presence of Arbitrary Time Dependent Chromo-Electric Field in Arbitrary Gauge

Abstract

We study non-perturbative gluon pair production from arbitrary time dependent chromo-electric field E^a(t) with arbitrary color index a =1,2,...8 via Schwinger mechanism in arbitrary covariant background gauge \alpha. We show that the probability of non-perturbative gluon pair production per unit time per unit volume per unit transverse momentum \frac{dW}{d^4xd^2p_T} is independent of gauge fixing parameter \alpha. Hence the result obtained in the Fynman-'t Hooft gauge, \alpha=1, is the correct gauge invariant and gauge parameter \alpha independent result.