Aitor Landete, Jose Navarro-Salas, Francisco Torrenti
We extend the adiabatic regularization method to spin-1/2 fields. The ansatz for the adiabatic expansion for fermionic modes differs significantly from the WKB-type template that works for scalar modes. We give explicit expressions for the first adiabatic orders and analyze particle creation in de Sitter spacetime. We show the power of the extended method by working out the conformal anomaly for a Dirac field in a FLRW spacetime, with the result $\langle T^{\mu}_{\mu}\rangle = (2880 \pi^2)^{-1}(11G/2 + 6\Box R)$, in exact agreement with that obtained from other renormalization prescriptions.
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http://arxiv.org/abs/1305.7374
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