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Regularization of Newton Constant, Trans-Planckian Dispersion Relation, and Symmetry of Particle Spectrum

Pei-Ming Ho
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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 cutoff scale, but we show that in order to avoid the ultra-violet divergence, the propagator should approach to 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.

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Pei-Ming Ho. 2003-10-01. Regularization of Newton Constant, Trans-Planckian Dispersion Relation, and Symmetry of Particle Spectrum. https://doi.org/10.1088/0264-9381%2F21%2F11%2F009

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