Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-15
New J. Phys. 14 (2012) 015005
Physics
High Energy Physics
High Energy Physics - Theory
20 pages; invited contribution to New Journal of Physics (Focus Issue: Quantum Einstein Gravity). V2: minor corrections, and a
Scientific paper
10.1088/1367-2630/14/1/015005
It is well known in quantum field theory that the off-shell effective action depends on the gauge choice and field parametrization used in calculating it. Nevertheless, the typical scheme in which the scenario of asymptotically safe gravity is investigated is an off-shell version of the functional renormalization group equation. Working with the Einstein-Hilbert truncation as a test bed, we develop a new scheme for the analysis of asymptotically safe gravity in which the on-shell part of the effective action is singled out and we show that the beta function for the essential coupling has no explicit gauge-dependence. In order to reach our goal, we introduce several technical novelties, including a different decomposition of the metric fluctuations, a new implementation of the ghost sector, and a new cut-off scheme. We find a non-trivial fixed point, with a value of the cosmological constant which is independent of the gauge-fixing parameters.
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