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arXiv · 0905.1974

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

Diana López Nacir·Francisco D. Mazzitelli
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Abstract

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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Diana López Nacir, Francisco D. Mazzitelli. 2009-05-12. On the renormalization procedure for quantum fields with modified dispersion relation in curved spacetimes. https://doi.org/10.1142/s0217751x09045005

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