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arXiv · 2404.16230

Vacuum Pair Creation in Spin Noncommutative of Coordinates: Volkov Background and Constant Electric Field

B. Hamil·B. C. Lütfüoğlu
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Abstract

We investigate the phenomenon of vacuum pair creation for Dirac fermions subjected to a Volkov plane wave and a constant electric field within the framework of spin noncommutativity of coordinates. Employing the Schwinger proper-time formalism, we derive the effective action and obtain closed-form expressions for the pair creation probability. Our analysis reveals that, in the presence of a Volkov plane wave background, the pair production probability remains zero-even with spin noncommutativity. In contrast, for a constant electric field in $(1+1)$-dimensional spacetime, the spin-induced noncommutative deformation significantly enhances the pair creation probability. Remarkably, we identify a critical value of the deformation parameter, $\ell = \frac{m}{eE}$, at which the pair creation probability diverges, indicating a potential vacuum instability or a breakdown of the perturbative regime. These findings underscore the nontrivial role of spin noncommutativity in nonperturbative quantum electrodynamics and offer novel insights for future studies in strong-field physics.

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B. Hamil, B. C. Lütfüoğlu. 2024-04-24. Vacuum Pair Creation in Spin Noncommutative of Coordinates: Volkov Background and Constant Electric Field. https://doi.org/10.1142/s0217732325502293

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