ePrints

Effective action for the Yukawa model in curved spacetime

Lookup NU author(s): Professor David Toms

Downloads

• Published version [.pdf]

Licence

This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2018, The Author(s). We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field is assumed to be non-minimally coupled to the gravitational field and to have a general quartic self-interaction potential. All of the one-loop renormalization group functions are evaluated and in the special case where there is no mass scale present in the classical theory (apart from the fields) we evaluate the one-loop effective action up to and including order R2 in the curvature. In the case where the fermion is massive we include a pseudoscalar mass term in γ5 and we show that although the γ5 term can be removed by a redefinition of the spinor field an anomaly in the effective action arises that is related to the familiar axial current anomaly.

Publication metadata

Author(s): Toms DJ

Publication type: Article

Publication status: Published

Journal: Journal of High Energy Physics

Year: 2018

Volume: 2018

Issue: 5

Online publication date: 23/05/2018

Acceptance date: 16/05/2018

Date deposited: 12/06/2018

ISSN (print): 1126-6708

ISSN (electronic): 1029-8479

Publisher: Springer Verlag

URL: https://doi.org/10.1007/JHEP05(2018)139

DOI: 10.1007/JHEP05(2018)139

Altmetrics

Share