6533b861fe1ef96bd12c4da5

RESEARCH PRODUCT

Geometric operators in the asymptotic safety scenario for quantum gravity

Carlo PaganiMaximilian Becker

subject

PhysicsGeodesic010308 nuclear & particles physicsTruncationAsymptotic safety in quantum gravityFOS: Physical sciencesContext (language use)General Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyTheoretical physicsPerspective (geometry)Dimensional reduction0103 physical sciencesQuantum gravity010306 general physics

description

We consider geometric operators, such as the geodesic length and the volume of hypersurfaces, in the context of the Asymptotic Safety scenario for quantum gravity. We discuss the role of these operators from the Asymptotic Safety perspective, and compute their anomalous dimensions within the Einstein-Hilbert truncation. We also discuss certain subtleties arising in the definition of such geometric operators. Our results hint to an effective dimensional reduction of the considered geometric operators.

https://dx.doi.org/10.48550/arxiv.1810.11816