Vector boson pair creation in noncommutative Rindler spacetime with an external field

In this work, we investigate the dynamics of the noncommutative Duffin-Kemmer-Petiau (DKP) field in a (1+1)-dimensional Rindler spacetime in the presence of an external background field. By employing the Seiberg-Witten maps and the Moyal star product, we derive the modified DKP equation up to first order in the noncommutativity parameter. Exact analytical solutions of the wave equation for spin-1 bosonic particles are obtained within this noncommutative curved geometry. Using Bogoliubov transformation techniques, we derive both the pair-creation density and the corresponding total number of created particles. Our analysis reveals that the noncommutative structure of spacetime significantly affects the particle production process: specifically, the rate of particle creation decreases inversely with the noncommutativity scale. This behavior reveals a nontrivial interplay between noncommutativity and gravitational effects and remains consistent with the fundamental principles of quantum field theory in curved spacetime.

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Publication Details

Journal
Modern Physics Letters A
Published
2026-05-14
DOI
https://doi.org/10.1142/s0217732326501634
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
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article

Vector boson pair creation in noncommutative Rindler spacetime with an external field

Lamine Khodja, Bochra Abbassi
Modern Physics Letters A
Noncommutative and Quantum Gravity Theories
article

Vector boson pair creation in noncommutative Rindler spacetime with an external field

Lamine Khodja, Bochra Abbassi
article en

Abstract

In this work, we investigate the dynamics of the noncommutative Duffin-Kemmer-Petiau (DKP) field in a (1+1)-dimensional Rindler spacetime in the presence of an external background field. By employing the Seiberg-Witten maps and the Moyal star product, we derive the modified DKP equation up to first order in the noncommutativity parameter. Exact analytical solutions of the wave equation for spin-1 bosonic particles are obtained within this noncommutative curved geometry. Using Bogoliubov transformation techniques, we derive both the pair-creation density and the corresponding total number of created particles. Our analysis reveals that the noncommutative structure of spacetime significantly affects the particle production process: specifically, the rate of particle creation decreases inversely with the noncommutativity scale. This behavior reveals a nontrivial interplay between noncommutativity and gravitational effects and remains consistent with the fundamental principles of quantum field theory in curved spacetime.

Modern Physics Letters A
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Noncommutative and Quantum Gravity Theories
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