Renormalization group flow of Weyl invariant dilaton gravity
Oct, 2011Citations per year
Abstract: (arXiv)
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.Note:
- To appear in New Journal of Physics. 20 pages
- gravitation: dilaton
- renormalization group: flow
- invariance: Weyl
- beta function
- higher-order: 1
- gravitation: scalar tensor
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