https://doi.org/10.1140/epjc/s10052-015-3410-0
Regular Article - Theoretical Physics
Search of scaling solutions in scalar–tensor gravity
1
SISSA, via Bonomea 265, 34136, Trieste, Italy
2
INFN, Sezione di Trieste, Trieste, Italy
3
INFN, Sezione di Bologna, via Irnerio 46, 40126, Bologna, Italy
* e-mail: vacca@bo.infn.it
Received:
20
February
2015
Accepted:
14
April
2015
Published online:
5
May
2015
We write new functional renormalization group equations for a scalar nonminimally coupled to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are simpler than older equations and avoid some of the difficulties that were previously present. In three dimensions these equations admit, at least for sufficiently small fields, a solution that may be interpreted as a gravitationally dressed Wilson–Fisher fixed point. We also find for any dimension 
additional analytic scaling solutions which we study for 
and 
. One of them corresponds to the fixed point of the Einstein–Hilbert truncation, the others involve a nonvanishing minimal coupling.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
