https://doi.org/10.1140/epjc/s10052-014-3165-z
Regular Article - Theoretical Physics
Pair production of Dirac particles in a 
-dimensional noncommutative space–time
1
Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada
2
International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072B.P.50, Cotonou, Republic of Benin
* e-mail: dsamary@perimeterinstitute.ca
Received:
26
August
2014
Accepted:
2
November
2014
Published online:
26
November
2014
This work addresses the computation of the probability of fermionic particle pair production in 
-dimensional noncommutative Moyal space. Using Seiberg–Witten maps, which establish relations between noncommutative and commutative field variables, up to the first order in the noncommutative parameter 
, we derive the probability density of vacuum–vacuum pair production of Dirac particles. The cases of constant electromagnetic, alternating time-dependent, and space-dependent electric fields are considered and discussed.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
