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