PT Journal
AU del Rio, A
   Navarro-Salas, J
TI Equivalence of adiabatic and DeWitt-Schwinger renormalization schemes
SO Physical Review D
JI Phys. Rev. D
PY 2015
BP 064031
EP 14pp
VL 91
IS 6
DI 10.1103/PhysRevD.91.064031
LA English
AB We prove that adiabatic regularization and DeWitt-Schwinger point-splitting provide the same result when renormalizing expectation values of the stress-energy tensor for spin-1/2 fields. This generalizes the equivalence found for scalar fields, which is here recovered in a different way. We also argue that the coincidence limit of the DeWitt-Schwinger proper time expansion of the two-point function agrees exactly with the analogous expansion defined by the adiabatic regularization method at any order (for both scalar and spin-1/2 fields). We also illustrate the power of the adiabatic method to compute higher order DeWitt coefficients in Friedmann-Lemaitre-Robertson-Walker Universes.
ER