Speaker
Roberto Percacci
Description
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 d>2 two analytic scaling solutions
which we study for d=3 and d=4. One of them corresponds
to
the fixed point of the Einstein-Hilbert truncation, the
others involve a nonvanishing minimal coupling.
