Lorentz-violating Yukawa theory at finite temperature

TL;DR

This paper investigates how Lorentz symmetry breaking and finite temperature influence Yukawa theory, affecting scattering processes and potentials, with implications for understanding symmetry changes and interaction strengths.

Contribution

It introduces a combined analysis of Lorentz violation and thermal effects in Yukawa theory, calculating scattering cross-sections and potentials under these conditions.

Findings

Lorentz violation alters symmetries and physical states.

Temperature significantly affects interaction strength.

Modified Yukawa potential reflects combined effects.

Abstract

This paper addresses Yukawa theory, focusing on the scattering between two identical fermions mediated by an intermediate scalar boson, considering the effects of thermal contributions and Lorentz symmetry breaking. Temperature is introduced into the theory through the TFD formalism, while Lorentz violation arises from a background tensor coupled to the kinetic part of the Klein-Gordon Lagrangian. Two important quantities are calculated: the cross-section for the scattering process and the modified Yukawa potential. The main results obtained in this work demonstrate that considering Lorentz symmetry breaking has several implications for changes in symmetries and physical states, while the presence of temperature is strongly related to the strength of the interaction. This interplay between symmetry breaking and temperature effects provides deeper insights into the behavior of the Yukawa theory under different conditions.