MG14 - Talk detail

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Abstract

In this talk we first discuss the adiabatic renormalization technique for spin 1/2 fields in expanding universes. We introduce the method and provide an explicit expression for the renormalized expectation value of the stress-energy tensor. Then, we discuss its application to some cosmological scenarios of physical interest. Afterwards, we shall give a proof that  adiabatic regularization and DeWitt-Schwinger point-splitting schemes provide the same result when renormalizing expectation values of the stress-energy tensor for Dirac fields, extending the results for scalar fields. We also suggest the equivalence at the level of the two point function at any adiabatic order, and illustrate the power of the adiabatic method to compute higher order DeWitt coefficients in Friedmann-Lemaitre-Robertson-Walker Universes. Basic references: A. del Río, J. Navarro-Salas, and F. Torrentí, Phys. Rev. D90(2014) 084017; A. del Río and J. Navarro-Salas, Phys. Rev. D91(2015) 064031. L. Parker and D. J. Toms, Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity (Cambridge University Press, Cambridge, UK, 2009).

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