Modified Dispersion Relations: from Black-Hole Entropy to the Cosmological Constant

Details Modified Dispersion Relations: from Black-Hole Entropy to the Cosmological Constant Modified Dispersion Relations: from Black-Hole Entropy to the Cosmological Constant

2011-12-07

arxiv.org/abs/1112.1630v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution prepared for the proceedings of the conference on quantum field theory under the influence of external conditions

Scientific paper

Quantum Field Theory is plagued by divergences in the attempt to calculate physical quantities. Standard techniques of regularization and renormalization are used to keep under control such a problem. In this paper we would like to use a different scheme based on Modified Dispersion Relations (MDR) to remove infinities appearing in one loop approximation in contrast to what happens in conventional approaches. In particular, we apply the MDR regularization to the computation of the entropy of a Schwarzschild black hole from one side and the Zero Point Energy (ZPE) of the graviton from the other side. The graviton ZPE is connected to the cosmological constant by means of of the Wheeler-DeWitt equation.

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