The emergence of a universal limiting speed

Details The emergence of a universal limiting speed The emergence of a universal limiting speed

2011-02-03

arxiv.org/abs/1102.0789v2

Phys.Rev.D83:105027,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures, Some references added

Scientific paper

10.1103/PhysRevD.83.105027

We display several examples of how fields with different limiting velocities (the "speed of light") at a high energy scale can nevertheless have a common limiting velocity at low energies due to the effects of interactions. We evaluate the interplay of the velocities through the self-energy diagrams and use the renormalization group to evolve the system to low energy. The differences normally vanish only logarithmically, so that an exponentially large energy trajectory is required in order to satisfy experimental constraints. However, we also display a model in which the running is power-law, which could be more phenomenologically useful. The largest velocity difference should be in system with the weakest interaction, which suggests that the study of the speed of gravitational waves would be the most stringent test of this phenomenon.

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