$$e^{+}e^{-}\rightarrow l^{+}l^{-}$$ scattering at finite temperature in the presence of a classical background magnetic field

Cabral, D. S.; Santos, A. F.

doi:10.1140/epjp/s13360-024-04975-w

Eur. Phys. J. Plus

2024

DOI: 10.1140/epjp/s13360-024-04975-w

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$$e^{+}e^{-}\rightarrow l^{+}l^{-}$$ scattering at finite temperature in the presence of a classical background magnetic field

D. S. Cabral,

A. F. Santos

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2024

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Cited by 2 publications

References 22 publications

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Lorentz-violating Yukawa theory at finite temperature

Cabral,

Evangelista,

de Souza

et al. 2024

Phys. Rev. D

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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 thermofield dynamics 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. Published by the American Physical Society 2024

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Lorentz-violating Yukawa theory at finite temperature

Cabral,

Evangelista,

de Souza

et al. 2024

Phys. Rev. D

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

Araújo,

Maluf,

Furtado

2024

Eur. Phys. J. C

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In this paper we study meson scattering in a non-minimally Lorentz-violating scalar QED at finite temperature. The meson scatterings were investigated in tree level and the finite temperature effects were addressed by using the thermofield dynamics formalism. We have considered three types of scattering, namely, meson-antimeson of a-type into meson-antimeson of b-type, meson-antimeson of a-type into meson-antimeson of a-type and meson-meson of a-type into meson-meson of a-type. For each scattering we have computed the cross section in order to investigate the influence of the finite temperature effects.

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$$e^{+}e^{-}\rightarrow l^{+}l^{-}$$ scattering at finite temperature in the presence of a classical background magnetic field

Cited by 2 publications

References 22 publications

Lorentz-violating Yukawa theory at finite temperature

Lorentz-violating Yukawa theory at finite temperature

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

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