Adiabatic renormalization in theories with modified dispersion relations

LOPEZ NACIR, DIANA; FRANCISCO D. MAZZITELLI; SIMEONE, CLAUDIO

Barcelona

Congreso; 2nd International Conference on Quantum Theories and Renormalization Group in Gravity and Cosmology; 2006

Universidad de Barcelona

We generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale MC. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic vacuum, up to the second adiabatic order. Weshowthatforanydispersionrelationthedivergencescanbeabsorbedinto the bare gravitational constants of the theory. We also point out that, depending on the renormalization prescription, the renormalized stress tensor may contain finite trans-Planckian corrections even in the limit MC →∞.