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Vacuum pair creation in spin noncommutative of coordinates: Volkov background and constant electric field.

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Title: Vacuum pair creation in spin noncommutative of coordinates: Volkov background and constant electric field.
Authors: Hamil, B.1 (AUTHOR) bilel.hamil@umc.edu.dz, Lütfüoğlu, B. C.2 (AUTHOR) bekir.lutfuoglu@uhk.cz
Source: Modern Physics Letters A. 1/30/2025, Vol. 41 Issue 2/3, p1-17. 17p.
Subjects: Pair production, Quantum field theory, Electromagnetic theory, Electric fields, Fermions
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, ℓ = m e E , 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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, ℓ = m e E , 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. [ABSTRACT FROM AUTHOR]
ISSN:02177323
DOI:10.1142/S0217732325502293