https://doi.org/10.1140/epjc/s10052-009-1135-7
Regular Article - Theoretical Physics
On “Schwinger mechanism for gluon pair production in the presence of arbitrary time dependent chromo-electric field”
1
Department of General and Experimental Physics, Herzen State Pedagogical University of Russia, Moyka emb. 48, 191186, St. Petersburg, Russia
2
Institute of Physics, University of São Paulo, CP 66318, CEP 05315-970, São Paulo, SP, Brazil
* e-mail: gitman@dfn.if.usp.br
Received:
4
June
2009
Revised:
15
July
2009
Published online:
19
September
2009
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.
PACS: 11.15.-q – / 11.15.Tk –
© Springer-Verlag , 2009
