Eur. Phys. J. Plus (2016) 131: 311
https://doi.org/10.1140/epjp/i2016-16311-4

Regular Article

Pair creation in noncommutative space-time

Laboratoire de physique mathématique et de physique subatomique (LPMPS), Université Frères Mentouri, Constantine, Algeria

^* e-mail: lyazidchetouani@gmail.com

Received: 24 March 2016
Accepted: 10 August 2016
Published online: 12 September 2016

Abstract

By taking two interactions, the Volkov plane wave and a constant electromagnetic field, the probability related to the process of pair creation from the vacuum is exactly and analytically determined via the Schwinger method in noncommutative space-time. For the plane wave, it is shown that the probability is simply null and for the electromagnetic wave it is found that the expression of the probability has a similar form to that obtained by Schwinger in a commutative space-time. For a certain critical value of H, the probability is simply equal to 1.