TY  - JOUR
AU  - Barbero, J. F.
AU  - Ferreiro, A.
AU  - Navarro-Salas, J.
AU  - Villaseñor, E. J. S.
PY  - 2018
DA  - 2018//
TI  - Adiabatic expansions for Dirac fields, renormalization, and anomalies
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 025016
EP  - 11pp
VL  - 98
IS  - 2
PB  - Amer Physical Soc
AB  - We introduce an iterative method to univocally determine the adiabatic expansion of the modes of Dirac fields in spatially homogeneous external backgrounds. We overcome the ambiguities found in previous studies and use this new procedure to improve the adiabatic regularization/renormalization scheme. We provide details on the application of the method for Dirac fields living in a four-dimensional Friedmann-Lemaitre-Robertson-Walker spacetime with a Yukawa coupling to an external scalar field. We check the consistency of our proposal by working out the conformal anomaly. We also analyze a two-dimensional Dirac field in Minkowski space coupled to a homogeneous electric field and reproduce the known results on the axial anomaly. The adiabatic expansion of the modes given here can be used to properly characterize the allowed physical states of the Dirac fields in the above external backgrounds.
SN  - 2470-0010
UR  - http://arxiv.org/abs/1805.05107
UR  - https://doi.org/10.1103/PhysRevD.98.025016
DO  - 10.1103/PhysRevD.98.025016
LA  - English
N1  - WOS:000439414000006
ID  - Barbero_etal2018
ER  -