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Regularization of Newton constant, trans-Planckian dispersion relation and symmetry of particle spectrum

Pei-Ming Ho

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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.


PACS

11.25.Sq Nonperturbative techniques; string field theory

04.60.-m Quantum gravity

11.25.Mj Compactification and four-dimensional models

MSC

81V17 Gravitational interaction (See also 83Cxx and 83Exx)

83E30 String and superstring theories (See also 81T30)

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 11 (7 June 2004)

Received 4 December 2003

Published 26 April 2004



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