PIRSA:08040068 Scientific Series Quantum Gravity

DOI10.48660/08040068

Series: Quantum Gravity

(2008). Trans-Planckian physics and renormalization. Perimeter Institute. https://pirsa.org/08040068

Trans-Planckian physics and renormalization. Perimeter Institute, Apr. 24, 2008, https://pirsa.org/08040068 

@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.

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