Lorentz violation in $\gamma$-pair production ($e^{+}e^{-} \rightarrow \gamma\gamma$)

Alessio T. B. Celeste; Adriano M. Santos

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arXiv · 2305.12304

Lorentz violation in $\gamma$-pair production ($e^{+}e^{-} \rightarrow \gamma\gamma$)

Alessio T. B. Celeste·Adriano M. Santos

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Abstract

This paper specifically focuses on the choice of a temporal background field over a spatial one in the context of Lorentz symmetry breaking. By examining the implications of this choice, we aim to understand the effects of Lorentz violation in different scenarios, with an emphasis on the consequences of adopting a purely temporal background field. In the analysis of $\gamma$-pair production, a brief approach in QED is presented, exploring the production of a pair of photons. Furthermore, the study investigates Lorentz violation with vectorial nonminimal coupling, analyzing the modifications introduced by this coupling in the scattering amplitude at the vertex. Additionally, Lorentz violation with axial-like nonminimal coupling is explored, with a particular focus. The additional coupling introduces further modifications to the scattering amplitude, highlighting the intricate nature of Lorentz symmetry breaking in different scenarios.

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Alessio T. B. Celeste, Adriano M. Santos. 2023-05-21. Lorentz violation in $\gamma$-pair production ($e^{+}e^{-} \rightarrow \gamma\gamma$). https://arxiv.org/abs/2305.12304

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