Trans-Planckian physics and renormalization

          @misc{ pirsa_PIRSA:08040068,
            doi = {10.48660/08040068},
            url = {https://pirsa.org/08040068},
            author = {},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Trans-Planckian physics and renormalization},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {apr},
            note = {PIRSA:08040068 see, \url{https://pirsa.org}}
          }
          

Abstract

We analyze the trans-Planckian problem and its formulation in the context of cosmology, black-hole physics, and analogue models of gravity. In particular, we discuss the phenomenological approach to the trans-Planckian problem based on modified, locally Lorentz-breaking, dispersion relations (MDR). The main question is whether MDR leave an detectable imprint on macroscopic physics. In the framework of the semi-classical theory of gravity, this question can be unambiguously answered only through a rigorous formulation of quantum field theory on curved space with MDR. In this context, we propose a momentum-space analysis of the Green\'s function, which will hopefully lead to the correct renormalization of the stress tensor.