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arXiv · 2412.06718

Adiabatic regularization for spin $1/2$ fields and the renormalized stress-energy tensor

Adrian del Rio·Jose Navarro-Salas
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Abstract

In this article we briefly review the adiabatic renormalization program for spin 1/2 fields in expanding universes. We introduce the method and provide explicit expressions for the renormalized vacuum expectation value of the stress-energy tensor. Then, we discuss its application to some cosmological scenario of physical interest. We end up sketching out the proof that adiabatic and DeWitt-Schwinger point-splitting schemes provide the same renormalized expectation values of the stress-energy tensor for Dirac fields.

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Adrian del Rio, Jose Navarro-Salas. 2024-12-09. Adiabatic regularization for spin $1/2$ fields and the renormalized stress-energy tensor. https://arxiv.org/abs/2412.06718

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