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

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

2009-05-12

arxiv.org/abs/0905.1974v1

Int.J.Mod.Phys.A24:1565-1569,2009

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at the 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, Joao Pessoa, Brazil, July 2008

Scientific paper

We review our recent results on the renormalization procedure for a free quantum scalar field with modified dispersion relations in curved spacetimes. For dispersion relations containing up to $2s$ powers of the spatial momentum, the subtraction necessary to renormalize $<\phi^2>$ and $$ depends on $s$. We first describe our previous analysis for spatially flat Friedman-Robertson-Walker and Bianchi type I metrics. Then we present a new power counting analysis for general background metrics in the weak field approximation.

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