TY  - JOUR
AU  - del Rio, A.
AU  - Ferreiro, A.
AU  - Navarro-Salas, J.
AU  - Torrenti, F.
PY  - 2017
DA  - 2017//
TI  - Adiabatic regularization with a Yukawa interaction
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 105003
EP  - 19pp
VL  - 95
IS  - 10
PB  - Amer Physical Soc
AB  - We extend the adiabatic regularization method for an expanding universe to include the Yukawa interaction between quantized Dirac fermions and a homogeneous background scalar field. We give explicit expressions for the renormalized expectation values of the stress-energy tensor < T-mu nu > and the bilinear <(psi) over bar psi > in a spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. These are basic ingredients in the semiclassical field equations of fermionic matter in curved spacetime interacting with a background scalar field. The ultraviolet subtracting terms of the adiabatic regularization can be naturally interpreted as coming from appropriate counterterms of the background fields. We fix the required covariant counterterms. To test our approach we determine the contribution of the Yukawa interaction to the conformal anomaly in the massless limit and show its consistency with the heat-kernel method using the effective action.
SN  - 2470-0010
UR  - http://arxiv.org/abs/1703.00908
UR  - https://doi.org/10.1103/PhysRevD.95.105003
DO  - 10.1103/PhysRevD.95.105003
LA  - English
N1  - WOS:000401447900006
ID  - delRio_etal2017
ER  -