Renormalization Group Equation and scaling solutions for f(R) gravity in exponential parametrization - INSPIRE

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Renormalization Group Equation and scaling solutions for f(R) gravity in exponential parametrization

Nobuyoshi Ohta
(
- Kinki U., Osaka
)
,
Roberto Percacci
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Gian Paolo Vacca
(
- Bologna U. and
- INFN, Bologna
)

Nov 30, 2015

24 pages

Published in:

Eur.Phys.J.C 76 (2016) 2, 46

Published: Jan 27, 2016

e-Print:

1511.09393 [hep-th]

DOI:

10.1140/epjc/s10052-016-3895-1

View in:

ADS Abstract Service

reference search109 citations

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Abstract: (Springer)

We employ the exponential parametrization of the metric and a “physical” gauge fixing procedure to write a functional flow equation for the gravitational effective average action in an f(R) truncation. The background metric is a four-sphere and the coarse-graining procedure contains three free parameters. We look for scaling solutions, i.e. non-Gaussian fixed points for the function f. For a discrete set of values of the parameters, we find simple global solutions of quadratic polynomial form. For other values, global solutions can be found numerically. Such solutions can be extended in certain regions of parameter space and have two relevant directions. We discuss the merits and the shortcomings of this procedure.

Note:

24 pages, 12 figures. v.2 small corrections

gravitation: f(R)
fixed point: non-Gaussianity
parametrization
scaling
renormalization group
gauge fixing
flow

References(51)

Figures(12)

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