Einstein-Aether theory, trans-Planckian problem and renormalization

by Dr Massimiliano Rinaldi (Univ. of Bologna)

Wednesday 9 Apr 2008, 11:00 → 12:00 Europe/Zurich

1/1-025 (CERN)

We will review the Einstein-Aether theory and its applications to the trans-Planckian problem. In this context, the latter is linked to the lack of a rigorous formulation of quantum field theory on curved space, with locally Lorentz-breaking modified dispersion relations. We will show how this problem can be tackled by a momentum-space analysis of the Green's functions. Some refs.: T. Jacobson, ``Einstein-aether gravity: a status report,'' arXiv:0801.1547 [gr-qc]. T. Jacobson and D. Mattingly,``Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem,'' Phys. Rev. D 63 (2001) 041502. M. Rinaldi, ``A momentum-space representation of Green's functions with modified dispersion on ultra-static space-time,'' Phys. Rev. D 76, 104027 (2007) D. L. Nacir and F. D. Mazzitelli, ``New counterterms induced by trans-Planckian physics in semiclassical gravity,'' arXiv:0711.4554 [gr-qc]. J. Martin and R. H. Brandenberger,``The trans-Planckian problem of inflationary cosmology,'' Phys. Rev. D 63 (2001) 123501. W. G. Unruh and R. Schutzhold, ``On the universality of the Hawking effect,'' Phys. Rev. D 71 (2005) 024028