On the renormalization procedure for quantum fields with modified dispersion relations in curved spacetimes

LOPEZ NACIR, DIANA; F.D. MAZZITELLI

INTERNATIONAL JOURNAL OF MODERN PHYSICS A

World Scientific

Lugar: Singapur; Año: 2008

0217-751X

We review our recent results on the renormalization procedure for a free quantum scalarfield with modified dispersion relations in curved spacetimes. For dispersion relationscontaining up to 2s powers of the spatial momentum, the subtraction necessary to renor-malize φ2 and Tµν depends on s. We first describe our previous analysis for spatiallyflat Friedman-Robertson-Walker and Bianchi type I metrics. Then we present a newpower counting analysis for general background metrics in the weak field approximation.