Meson scattering in a Lorentz-violating scalar QED at finite temperature

TL;DR

This study explores how finite temperature influences meson scattering in a Lorentz-violating scalar QED model, revealing significant high-temperature effects and potential new constraints on Lorentz violation parameters.

Contribution

It introduces finite temperature effects into Lorentz-violating scalar QED using Thermo Field Dynamics and analyzes their impact on meson scattering cross-sections.

Findings

Large corrections at high temperatures

Temperature effects may impose new constraints on Lorentz-violating parameters

Provides zero temperature Feynman rules for the model

Abstract

This paper investigates how the nonzero temperature affects the differential cross-section for mesons scattering in a Lorentz-violating extension of the scalar electrodynamics. We initially discuss some features of the model and extract the zero temperature Feynman rules. Temperature effects are introduced using the Thermo Field Dynamics (TFD) formalism. It is shown that the corrections induced on the meson scattering are very large in the high-temperature regime. Furthermore, our results also suggest that temperature effects may contribute to new constraints on the Lorentz-violating parameters.