%0 Journal Article
%T Renormalization, running couplings, and decoupling for the Yukawa model in a curved spacetime
%A Ferreiro, A.
%A Nadal-Gisbert, S.
%A Navarro-Salas, J.
%J Physical Review D
%D 2021
%V 104
%N 2
%I Amer Physical Soc
%@ 2470-0010
%G English
%F Ferreiro_etal2021
%O WOS:000669563900006
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4896), last updated on Wed, 11 Aug 2021 09:09:38 +0000
%X The decoupling of heavy fields as required by the Appelquist-Carazzone theorem plays a fundamental role in the construction of any effective field theory. However, it is not a trivial task to implement a renormalization prescription that produces the expected decoupling of massive fields, and it is even more difficult in curved spacetime. Focused on this idea, we consider the renormalization of the one-loop effective action for the Yukawa interaction with a background scalar field in curved space. We compute the beta functions within a generalized DeWitt-Schwinger subtraction procedure and discuss the decoupling in the running of the coupling constants. For the case of a quantized scalar field, all the beta function exhibit decoupling, including also the gravitational ones. For a quantized Dirac field, decoupling appears almost for all the beta functions. We obtain the anomalous result that the mass of the background scalar field does not decouple.
%R 10.1103/PhysRevD.104.025003
%U https://arxiv.org/abs/2104.14318
%U https://doi.org/10.1103/PhysRevD.104.025003
%P 025003-8pp