Regularization of Newton constant, transPlanckian dispersion relation, and symmetry of particle spectrum
Journal
Classical and Quantum Gravity
Journal Volume
21
Pages
2641-2650
Date Issued
2003-08
Author(s)
Abstract
We consider the possibility that the UV completeness of a fundamental theory is achieved by a modification of propagators at large momenta. We assume that general covariance is preserved at all energies, and focus on the coupling of a scalar field to the background geometry as an example. Naively, one expects that the gravitational interaction, like Yukawa interactions, will be regularized by a propagator which decays to zero sufficiently fast above some cut-off scale, but we show that in order to avoid the ultraviolet divergence, the propagator should approach a nonzero constant. This incompatibility between the regularizations of gravitational and Yukawa interactions suggests that a symmetry of the particle spectrum is needed for a UV-complete fundamental theory.
Type
journal article