Quantum Fields with Modified Dispersion Relations in Curved Spaces.

F.D. MAZZITELLI

Rosario

Conferencia; Quantum Gravity and the Foundations of Physics; 2010

We discuss the renormalization procedure for quantum scalar fields with modified dis- persion relations in curved spacetimes. We consider two different ways of introducing modified dispersion relations: through the interaction with a dynamical temporal vec- tor field, as in the context of the Einstein-Aether theory, and breaking explicitly the covariance of the theory, as in Hˇorava-Lifshitz gravity. Working in the weak field ap- proximation, we show that the general structure of the counterterms depends on the UV behavior of the dispersion relations and on the mechanism chosen to introduce them