New counterterms induced by trans-Planckian physics in semiclassical gravity

Details New counterterms induced by trans-Planckian physics in semiclassical gravity New counterterms induced by trans-Planckian physics in semiclassical gravity

Aug 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrvd..78d4001l&link_type=abstract

Physical Review D, vol. 78, Issue 4, id. 044001

Physics

1

Scientific paper

We consider free and self-interacting quantum scalar fields satisfying modified dispersion relations in the framework of Einstein-Aether theory. Using adiabatic regularization, we study the renormalization of the equation for the mean value of the field in the self-interacting case, and the renormalization of the semiclassical Einstein-Aether equations for free fields. In both cases we consider Bianchi type I background spacetimes. Contrary to what happens for free fields in flat Robertson-Walker spacetimes, the self-interaction and/or the anisotropy produce nonpurely geometric terms in the adiabatic expansion, i.e. terms that involve both the metric gμν and the aether field uμ. We argue that, in a general spacetime, the renormalization of the theory would involve new counterterms constructed with gμν and uμ, generating a fine-tuning problem for the Einstein-Aether theory.

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