Eur. Phys. J. Plus (2015) 130: 42
https://doi.org/10.1140/epjp/i2015-15042-4

Regular Article

Pair creation by a SU(2) non-Abelian plane wave

¹ Département de Physique, Université de Jijel, Jijel, Algeria
² Département de Physique, Université des Frères Mentouri, Constantine, Algeria

^* e-mail: lyazidchetouani@gmail.com

Received: 3 September 2014
Revised: 23 January 2015
Accepted: 9 February 2015
Published online: 10 March 2015

Abstract

A SU(2) non-Abelian plane wave group is used to study the process of pair creation of particles of spin 0 and 1/2. Using the plane wave properties and some shifts and by algebric calculation, it is shown that in both cases of spin 0 and 1/2 the effective actions and the probabilities are null, i.e. no particles pair can be created from vacuum with such a field.