Pair Production by a Constant External Field in Noncommutative QED

Details Pair Production by a Constant External Field in Noncommutative QED Pair Production by a Constant External Field in Noncommutative QED

2000-09-05

arxiv.org/abs/hep-th/0009037v3

Phys.Lett.B504:141-146,2001

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, v3: minor changes with respect to v2, the version to appear in PLB

Scientific paper

10.1016/S0370-2693(01)00259-3

In this paper we study QED on the noncommutative space in the constant electro-magnetic field background. Using the explicit solutions of the noncommutative version of Dirac equation in such background, we show that there are well-defined in and out -going asymptotic states and also there is a causal Green's function. We calculate the pair production rate in this case. We show that at tree level noncommutativity will not change the pair production and the threshold electric field. We also calculate the pair production rate considering the first loop corrections. In this case we show that the threshold electric field is decreased by the noncommutativity effects.

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