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2015

On selfdual spin-connections and Asymptotic Safety

Harst, Ulrich, Reuter, Martin

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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.

On selfdual spin-connections and Asymptotic Safety · Around

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1976
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