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Main Authors: Cabral, D. S., Evangelista, L. A. S., de Souza, J. C. R., Ferreira, L. H. A. R., Santos, A. F.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2410.17376
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author Cabral, D. S.
Evangelista, L. A. S.
de Souza, J. C. R.
Ferreira, L. H. A. R.
Santos, A. F.
author_facet Cabral, D. S.
Evangelista, L. A. S.
de Souza, J. C. R.
Ferreira, L. H. A. R.
Santos, A. F.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17376
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lorentz-violating Yukawa theory at finite temperature
Cabral, D. S.
Evangelista, L. A. S.
de Souza, J. C. R.
Ferreira, L. H. A. R.
Santos, A. F.
High Energy Physics - Theory
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.
title Lorentz-violating Yukawa theory at finite temperature
topic High Energy Physics - Theory
url https://arxiv.org/abs/2410.17376