Abstract
Recently the paper “Schwinger mechanism for gluon pair production in the presence of arbitrary time dependent chromo-electric field” by G.C. Nayak was published [Eur. Phys. J. C 59:715, 2009; arXiv:0708.2430]. Its aim is to obtain an exact expression for the probability of non-perturbative gluon pair production per unit time per unit volume and per unit transverse momentum in an arbitrary time-dependent chromo-electric background field. We believe that the obtained expression is open to question. We demonstrate its inconsistency on some well-known examples. We think that this is a consequence of using the so-called “shift theorem” [arXiv:hep-th/0609192] in deriving the expression for the probability. We make some critical comments on the theorem and its applicability to the problem in question.
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Gavrilov, S.P., Gitman, D.M. On “Schwinger mechanism for gluon pair production in the presence of arbitrary time dependent chromo-electric field”. Eur. Phys. J. C 64, 81–83 (2009). https://doi.org/10.1140/epjc/s10052-009-1135-7
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DOI: https://doi.org/10.1140/epjc/s10052-009-1135-7