2018/04/30 by David J. Toms · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep05(2018)139
28 pages
arxiv created 2018/05/22 · arxiv updated 2018/07/04
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 chiral 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.