On selfdual spin-connections and Asymptotic Safety

Abstract

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.

14 pages, 4 fgures

References in corpus (5)

• New Action Principle for General Relativity
• Fermions in gravity with local spin-base invariance
• Gravity as a diffeomorphism invariant gauge theory
• Global surpluses of spin-base invariant fermions
• A new functional flow equation for Einstein-Cartan quantum gravity

Cited by in corpus (5)

• The nonperturbative functional renormalization group and its applications
• Einstein-Cartan wormhole solutions
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
• On the possibility of a novel (A)dS/CFT relationship emerging in Asymptotic Safety