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

Abstract

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.

Contribution prepared for the proceedings of the conference on quantum field theory under the influence of external conditions (QFEXT11). 8 pages

References in corpus (4)

• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• A noncommutative approach to the cosmological constant problem
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism

Cited by in corpus (4)

• Minimal Length Scale Scenarios for Quantum Gravity
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
• Invariant ultraviolet scale corrections to the thermodynamics of degenerate Fermi gas and its implications