Any theory can be made Weyl invariant by introducing a dilaton. It is shown here 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.
Renormalization group flow of Weyl invariant dilaton gravity / Percacci, Roberto. - In: NEW JOURNAL OF PHYSICS. - ISSN 1367-2630. - 13:(2011), pp. 1-21. [10.1088/1367-2630/13/12/125013]
Renormalization group flow of Weyl invariant dilaton gravity
Percacci, Roberto
2011-01-01
Abstract
Any theory can be made Weyl invariant by introducing a dilaton. It is shown here 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.File | Dimensione | Formato | |
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