Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-15
Class.Quant.Grav. 21 (2004) 2641-2650
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, minor modification
Scientific paper
10.1088/0264-9381/21/11/009
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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