Universidad Complutense de Madrid
E-Prints Complutense

Do the gravitational corrections to the beta functions of the quartic and Yukawa couplings have an intrinsic physical meaning?

Impacto

Downloads

Downloads per month over past year

González Martín, S. and Pérez Martín, Carmelo (2017) Do the gravitational corrections to the beta functions of the quartic and Yukawa couplings have an intrinsic physical meaning? Physics letters B, 773 . pp. 585-590. ISSN 0370-2693

[img]
Preview
PDF
Creative Commons Attribution.

321kB

Official URL: http://doi.org/10.1016/j.physletb.2017.09.011


URLURL Type
http://www.sciencedirect.comPublisher


Abstract

We study the beta functions of the quartic and Yukawa couplings of General Relativity and Unimodular Gravity coupled to the λφ4 and Yukawa theories with masses. We show that the General Relativity corrections to those beta functions as obtained from the 1PI functional by using the standard MS multiplicative renormalization scheme of Dimensional Regularization are gauge dependent and, further, that they can be removed by a non-multiplicative, though local, field redefinition. An analogous analysis is carried out when General Relativity is replaced with Unimodular Gravity. Thus we show that any claim made about the change in the asymptotic behavior of the quartic and Yukawa couplings made by General Relativity and Unimodular Gravity lack intrinsic physical meaning.


Item Type:Article
Additional Information:

© 2017 The Authors. Published by Elsevier B.V. We are grateful to E. Álvarez for illuminating discussions. This work has received funding from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grants agreement No 674896 and No 690575. We also have been partially supported by the Spanish MINECO through grants FPA2014-54154-P and FPA2016-78645-P, COST actions MP1405 (Quantum Structure of Spacetime) and COST MP1210 (The string theory Universe). S.G-M acknowledges the support of the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa SEV-2016-0597.

Uncontrolled Keywords:One-loop divergences; Nonrenormalizability; System.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45752
Deposited On:09 Jan 2018 11:46
Last Modified:09 Jan 2018 11:46

Origin of downloads

Repository Staff Only: item control page