Gravitational Möller scattering, Lorentz violation and finite temperature

2020 ◽  
Vol 35 (26) ◽  
pp. 2050213
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Electromagnetic Scattering ◽  
Lorentz Violation ◽  
Gravitational Effect ◽  
Energy Scale ◽  
Minimal Coupling ◽  
Moller Scattering ◽  
Thermo Field Dynamics

A formal analogy between the gravitational and the electromagnetic fields leads to the notion of Gravitoelectromagnetism (GEM) to describe gravitation. A Lagrangian formulation for GEM is developed for scattering processes with gravitons as an intermediate state, in addition to photons for electromagnetic scattering. The differential cross section is calculated for gravitational Möller scattering based on GEM theory. This gravitational cross section is obtained for cases where the Lorentz symmetry is maintained or violated. The Lorentz violation is introduced with the non-minimal coupling term. In addition, using the Thermo Field Dynamics formalism, thermal corrections to the differential cross section are investigated. By comparing the electromagnetic and GEM versions, of Möller scattering, it is shown that the gravitational effect may be measured at an appropriate energy scale.

scholarly journals Lorentz violation, gravitoelectromagnetism and Bhabha scattering at finite temperature

2018 ◽  
Vol 33 (10n11) ◽  
pp. 1850061 ◽  
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Finite Temperature ◽  
Lorentz Violation ◽  
High Energy ◽  
Gravitation Field ◽  
Bhabha Scattering ◽  
Thermo Field Dynamics ◽  
Very High Energy

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.

Thermal corrections for gravitational Möller scattering

2019 ◽  
Vol 34 (08) ◽  
pp. 1950044
Author(s):  
A. F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Finite Temperature ◽  
Temperature Effects ◽  
Gravitational Theory ◽  
Lagrangian Formulation ◽  
Moller Scattering ◽  
Formal Analogy ◽  
Thermo Field Dynamics

A Lagrangian formulation of Gravitoelectromagnetism (GEM) theory is considered. GEM is a gravitational theory that emerges from a formal analogy between electromagnetism and gravity. Using this, the differential cross-section of the gravitational Möller scattering at finite temperature is calculated. The temperature effects are introduced using the Thermo Field Dynamics (TFD) formalism.

scholarly journals Bhabha scattering in very special relativity at finite temperature

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Alesandro Ferreira dos Santos ◽  
Faqir C. Khanna
Keyword(s):  
Differential Cross Section ◽  
Special Relativity ◽  
Cross Section ◽  
Differential Cross ◽  
Local Form ◽  
Bhabha Scattering ◽  
Thermo Field Dynamics ◽  
Different Types ◽  
Non Local ◽  
Very Special Relativity

Abstract In this paper the differential cross section for Bhabha scattering in the very special relativity (VSR) framework is calculated. The main characteristic of the VSR is to modify the gauge invariance. This leads to different types of interactions appearing in a non-local form. In addition, using the Thermo Field Dynamics formalism, thermal corrections for the differential cross section of Bhabha scattering in VSR framework are obtained.

scholarly journals Lorentz Violation, Möller Scattering, and Finite Temperature

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Alesandro F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Finite Temperature ◽  
Planck Scale ◽  
Lorentz Violation ◽  
High Energy ◽  
New Physics ◽  
Energy Scale ◽  
Moller Scattering ◽  
Thermo Field Dynamics ◽  
Very High Energy ◽  
High Energy Scale

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.

Energy unresolved differential cross section for electron scattering by H2

1982 ◽  
Vol 77 (3) ◽  
pp. 1323-1334 ◽  
Author(s):  
Wl/odzimierz Kol/os ◽  
Hendrik J. Monkhorst ◽  
Krzysztof Szalewicz
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Electron Scattering ◽  
Differential Cross

NOTE ON THE MEASUREMENT OF y-DEPENDENCE IN NEUTRINO-ELECTRON SCATTERING: A SENSITIVE TEST OF THE STANDARD MODEL

1993 ◽  
Vol 02 (04) ◽  
pp. 915-921 ◽  
Author(s):  
C. RANGACHARYULU ◽  
A. RICHTER
Keyword(s):  
Standard Model ◽  
Differential Cross Section ◽  
Cross Section ◽  
Electron Scattering ◽  
Differential Cross ◽  
Sensitive Test ◽  
Testing Ground ◽  
The Standard Model ◽  
Sensitive Testing

It is pointed out that the y-dependence of the differential cross-section for various types of neutrinos on the electron promises to be a sensitive testing ground of the electroweak Standard Model at KAON in Vancouver. Estimates of the flux requirements are given and the feasibility of such experiments is discussed.

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