@Article{Ferreiro_etal2021, author="Ferreiro, A. and Nadal-Gisbert, S. and Navarro-Salas, J.", title="Renormalization, running couplings, and decoupling for the Yukawa model in a curved spacetime", journal="Physical Review D", year="2021", publisher="Amer Physical Soc", volume="104", number="2", pages="025003--8pp", abstract="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.", optnote="WOS:000669563900006", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4896), last updated on Wed, 11 Aug 2021 09:09:38 +0000", issn="2470-0010", doi="10.1103/PhysRevD.104.025003", opturl="https://arxiv.org/abs/2104.14318", opturl="https://doi.org/10.1103/PhysRevD.104.025003", language="English" }