Adiabatic renormalization in theories with modified dispersion relations

D. LÓPEZ NACIR; F. D. MAZZITELLI; C. SIMEONE

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

J. Phys. A: Math. Theor.

Lugar: Bristol, Inglaterra; Año: 2007 vol. 40 p. 6895 - 6900

0305-4470

We generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale M_C. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic vacuum, up to the second adiabatic order. We show that for any dispersion relation the divergences can be absorbed into 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 M_C\to \infty.