TY  - JOUR
AU  - Ferreiro, A.
AU  - Nadal-Gisbert, S.
AU  - Navarro-Salas, J.
PY  - 2021
DA  - 2021//
TI  - Renormalization, running couplings, and decoupling for the Yukawa model in a curved spacetime
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 025003
EP  - 8pp
VL  - 104
IS  - 2
PB  - Amer Physical Soc
AB  - 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.
SN  - 2470-0010
UR  - https://arxiv.org/abs/2104.14318
UR  - https://doi.org/10.1103/PhysRevD.104.025003
DO  - 10.1103/PhysRevD.104.025003
LA  - English
N1  - WOS:000669563900006
ID  - Ferreiro_etal2021
ER  -