Non-relativistic fermion–fermion scattering in higher derivative gravity

In this note, the scattering of two identical fermions in theories where fermionic fields are minimally coupled to higher derivative gravity was examined. In particular, the extension of general relativity with R 2 corrections or non-local terms was considered. The action of fermions around the flat...

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Bibliographic Details
Published in:Indian journal of physics 2020-04, Vol.94 (4), p.541-545
Main Authors: Ganjali, Mohammad A., Amirkhani, Vahid, ShamlouMehr, Ahmad
Format: Article
Language:English
Subjects:
Astrophysics and Astroparticles
Celestial bodies
Fermions
Gravitation
Gravitons
Original Paper
Physics
Physics and Astronomy
Relativism
Relativistic effects
Relativity
Scattering amplitude
White dwarf stars
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Summary:In this note, the scattering of two identical fermions in theories where fermionic fields are minimally coupled to higher derivative gravity was examined. In particular, the extension of general relativity with R 2 corrections or non-local terms was considered. The action of fermions around the flat space background was expanded, and two fermions–one graviton vertex was obtained. Then, the non-relativistic limit due to scattering amplitude was calculated and that leads to obtaining the potential of two fermion–fermion interaction which would be the usual Newtonian potential corrected with a Yukawa-like term. Finally , we briefly discuss the astronomical effects of such Yukawa-like potential by computing the gravitational pressure of a spherical star and use it for a white dwarf to obtain quantum corrections of Chandrasekhar radius.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-019-01469-9