PT Journal
AU Ferreiro, A
   Nadal-Gisbert, S
   Navarro-Salas, J
TI Renormalization, running couplings, and decoupling for the Yukawa model in a curved spacetime
SO Physical Review D
JI Phys. Rev. D
PY 2021
BP 025003
EP 8pp
VL 104
IS 2
DI 10.1103/PhysRevD.104.025003
LA English
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.
ER