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

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 $<{\varphi }^2>$ and $<T_{\mu \nu }>$ 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.

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

References in corpus (2)

• Renormalization of Lorentz violating theories
• New counterterms induced by trans-Planckian physics in semiclassical gravity

Cited by in corpus (2)

• Geometry of physical dispersion relations
• Rescuing the Unruh Effect in Lorentz Violating Gravity