Theoretical study reveals that coordinate spin noncommutativity alters Dirac fermion pair creation under electric fields, highlighting spatial geometry effects on vacuum stability.
We study the Schwinger pair creation process for Dirac fermions in the presence of a Volkov plane wave and a constant external electric field by applying spin non-commutativity of coordinates. Using the Schwinger proper time method, the probability of pair creation from vacuum is calculated precisely and analytically. In the case of the Volkov plane wave, it is shown that the probability is zero. However, for a constant electric field, the spin noncommutativity of the coordinates contributes to the pair creation process and affects the calculated probability.
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Hamil et al. (2024) studied this question.
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