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

2024/12/09 by Adrián del Río, del Rio, Adrian, José Navarro-Salas +1
Earth and Planetary Sciences · Engineering · #Seismic Imaging and Inversion Techniques #High-pressure geophysics and materials #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.2412.06718

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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