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On selfdual spin-connections and Asymptotic Safety

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arxiv 1509.09122 v1 pith:QLCLYBS3 submitted 2015-09-30 hep-th gr-qc

classification hep-thgr-qc
keywords selfdualfieldgravitynon-perturbativetheoryactionanti-anti-selfdual
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Renormalization group flows in area-metric gravity

    gr-qc 2025-07 conditional novelty 7.0 of 10

    The first renormalization group analysis of area-metric gravity shows shape-mismatching masses grow toward the infrared, parity is not emergent, and the Immirzi parameter flow has fixed points at γ=0 and γ=∞.

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