scholarly journals Effects of the CPT-even and Lorentz violation on the Bhabha scattering at finite temperature

2021 ◽  
pp. 168451
Author(s):  
P.R.A. Souza ◽  
A.F. Santos ◽  
Faqir C. Khanna
2018 ◽  
Vol 33 (10n11) ◽  
pp. 1850061 ◽  
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna

Gravitoelectromagnetism (GEM) is an approach for the gravitation field that is described using the formulation and terminology similar to that of electromagnetism. The Lorentz violation is considered in the formulation of GEM that is covariant in its form. In practice, such a small violation of the Lorentz symmetry may be expected in a unified theory at very high energy. In this paper, a non-minimal coupling term, which exhibits Lorentz violation, is added as a new term in the covariant form. The differential cross-section for Bhabha scattering in the GEM framework at finite temperature is calculated that includes Lorentz violation. The Thermo Field Dynamics (TFD) formalism is used to calculate the total differential cross-section at finite temperature. The contribution due to Lorentz violation is isolated from the total cross-section. It is found to be small in magnitude.


2017 ◽  
Vol 95 (12) ◽  
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
B. Charneski ◽  
M. Gomes ◽  
R. V. Maluf ◽  
A. J. da Silva

2005 ◽  
Vol 2005 (10) ◽  
pp. 019-019 ◽  
Author(s):  
Tiago Mariz ◽  
Jose R Nascimento ◽  
Eduardo Passos ◽  
Rubens F Ribeiro ◽  
Francisco A Brito

2019 ◽  
Vol 791 ◽  
pp. 195-200 ◽  
Author(s):  
P.R.A. Souza ◽  
A.F. Santos ◽  
S.C. Ulhoa ◽  
F.C. Khanna

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Alesandro F. Santos ◽  
Faqir C. Khanna

Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, that is, at the Planck scale. The differential cross section of the Möller scattering due to Lorentz violation at finite temperature is calculated. Lorentz-violating effects emerge from an interaction vertex due to a CPT-odd nonminimal coupling in the covariant derivative. The finite temperature effects are determined using the Thermo Field Dynamics (TFD) formalism.


2018 ◽  
Vol 33 (02) ◽  
pp. 1850015 ◽  
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna

Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However, at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is a quantum field theory that includes a systematic description of Lorentz symmetry violations in all sectors of particle physics and gravity. In this paper, SME is considered to study the physical process of Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an important formalism that is valid in a suitable approximation of general relativity. A new nonminimal coupling term that violates Lorentz symmetry is used in this paper. Differential cross-section for gravitational Bhabha scattering is calculated. The Lorentz violation contributions to this GEM scattering cross-section are small and are similar in magnitude to the case of the electromagnetic field.


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