6533b7d9fe1ef96bd126b967
RESEARCH PRODUCT
The metric on field space, functional renormalization, and metric-torsion quantum gravity
Gregor M. SchollmeyerMartin Reutersubject
High Energy Physics - TheoryPhysics010308 nuclear & particles physicsAsymptotic safety in quantum gravityGeneral Physics and AstronomyFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Renormalization group01 natural sciencesGeneral Relativity and Quantum CosmologyRenormalizationGeneral Relativity and Quantum CosmologyTorsion tensorHigh Energy Physics - Theory (hep-th)0103 physical sciencesQuantum gravityFunctional renormalization group010306 general physicsQuantumIrreducible componentMathematical physicsdescription
Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of action functionals depending on the metric and the torsion tensor, the latter parameterized by three irreducible component fields. A detailed comparison with Quantum Einstein-Cartan Gravity (QECG), Quantum Einstein Gravity (QEG), and "tetrad-only" gravity, all based on different theory spaces, is performed. It is demonstrated that, over a generic theory space, the construction of a functional RG equation (FRGE) for the effective average action requires the specification of a metric on the infinite-dimensional field manifold as an additional input. A modified FRGE is obtained if this metric is scale-dependent, as it happens in the metric-torsion system considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-09-16 |