Search of scaling solutions in scalar–tensor gravity
By Roberto Percacci, G. Vacca. 2015
145 citations recorded by the source corpus.
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 $$d>2$$d>2 additional analytic scaling solutions which we study for $$d=3$$d=3 and $$d=4$$d=4. One of them corresponds to the fixed point of the Einstein–Hilbert truncation, the others involve a nonvanishing minimal coupling.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7470c885415305ff30bbbe1712cc949a5b27e168
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Citations in the corpus
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “For instance, the vielbein and the connection can be treated as independent variables (Daum and Reuter, 2012, 2013; Harst and Reuter, 2015, 2016), or torsion can be included (Pagani and Percacci, 2015; Reuter and Schollmeyer, 2016).”
- The nonperturbative functional renormalization group and its applications (2020, methodology): “the full metric g into a background ¯g and fluctuation field h . Most studies to date employ a linear split as in Eq. (97), but alternative parameterizations have also been explored, see, e.g., [1084,1087,1095,1096,1129,1148,1150,1167,1168]. A Vilkovisky-DeWitt approach in the FRG framework [676] fo”