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arXiv · 1406.0219

Pair production of Dirac particles in a d+1-dimensional noncommutative space-time

Dine Ousmane Samary·Emanonfi Elias N'Dolo·Mahouton Norbert Hounkonnou
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Abstract

This work addresses the computation of the propability of fermionic particle pair production in $(d+1)-$ dimensional noncommutative Moyal space. Using the Seiberg-Witten maps that establish relations between noncommutative and commutative field variables, to first order in the noncommutative parameter $θ$, 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.

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Dine Ousmane Samary, Emanonfi Elias N'Dolo, Mahouton Norbert Hounkonnou. 2015-02-16. Pair production of Dirac particles in a d+1-dimensional noncommutative space-time. https://doi.org/10.1140/epjc%2Fs10052-014-3165-z

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