Renormalization and decoupling for the Yukawa model in curved spacetime
General Relativity and Quantum Cosmology
2021-10-27 v1 High Energy Physics - Theory
Abstract
We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta functions exhibit decoupling for heavy fields as stated by the Appelquist-Carazzone theorem including also the gravitational couplings. For the quantized Dirac field, decoupling appears for almost all of them. We obtain the atypical result that the mass parameter of the background scalar field does not decouple.
Cite
@article{arxiv.2110.13453,
title = {Renormalization and decoupling for the Yukawa model in curved spacetime},
author = {Sergi Nadal-Gisbert and Antonio Ferreiro and José Navarro-Salas},
journal= {arXiv preprint arXiv:2110.13453},
year = {2021}
}
Comments
11 pages. Contribution to the Marcel Grossmann Meeting 2021