6533b86efe1ef96bd12cbd92

RESEARCH PRODUCT

On selfdual spin-connections and asymptotic safety

Martin ReuterUlrich Harst

subject

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsField (physics)010308 nuclear & particles physicsMathematics::Analysis of PDEsAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Euclidean quantum gravitySpace (mathematics)01 natural sciencesGeneral Relativity and Quantum Cosmologylcsh:QC1-999Action (physics)High Energy Physics::TheoryHigh Energy Physics - Theory (hep-th)Flow (mathematics)0103 physical sciencesFunctional renormalization groupMathematics::Differential Geometry010306 general physicsTetradlcsh:PhysicsMathematical physics

description

We explore Euclidean quantum gravity using the tetrad field together with a selfdual or anti-selfdual spin-connection as the basic field variables. Setting up a functional renormalization group (RG) equation of a new type which is particularly suitable for the corresponding theory space we determine the non-perturbative RG flow within a two-parameter truncation suggested by the Holst action. We find that the (anti-)selfdual theory is likely to be asymptotically safe. The existing evidence for its non-perturbative renormalizability is comparable to that of Einstein-Cartan gravity without the selfduality condition.

yearjournalcountryeditionlanguage
2016-02-01Physics Letters B
https://doi.org/10.1016/j.physletb.2015.12.016