Pair creation in noncommutative space-time
Laboratoire de physique mathématique et de physique subatomique (LPMPS), Université Frères Mentouri, Constantine, Algeria
* e-mail: firstname.lastname@example.org
Accepted: 10 August 2016
Published online: 12 September 2016
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016