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

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We study non-perturbative gluon pair production from arbitrary time dependent chromo-electric field Eᵃ(t) with arbitrary color index a =1,2,...8 via Schwinger mechanism in arbitrary covariant background gauge α. We show that the probability of non-perturbative gluon pair production per unit time per unit volume per unit transverse momentum dW/d⁴xd²pₜ is independent of gauge fixing parameter α. Hence the result obtained in the Fynman-'t Hooft gauge, α=1, is the correct gauge invariant and gauge parameter αindependent result.