RG flow of Weyl-invariant dilaton gravity

Details RG flow of Weyl-invariant dilaton gravity RG flow of Weyl-invariant dilaton gravity

2011-10-31

arxiv.org/abs/1110.6758v1

Physics

High Energy Physics

High Energy Physics - Theory

To appear in New Journal of Physics. 20 pages

Scientific paper

Any theory can be made Weyl invariant by introducing a dilaton. It is shown how to construct renormalization group equations for gravity that maintain this property. Explicit calculations are given only in the simplest approximation, namely for the one loop beta functions of a dilaton conformally coupled to a dynamical metric, but the results have wider validity. This formalism could be used to define the meaning of a theory with a position-dependent cutoff: it is equivalent to a theory with a constant cutoff, but a conformally related metric.

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