{ "id": "1509.09122", "version": "v1", "published": "2015-09-30T11:04:08.000Z", "updated": "2015-09-30T11:04:08.000Z", "title": "On selfdual spin-connections and Asymptotic Safety", "authors": [ "Ulrich Harst", "Martin Reuter" ], "comment": "14 pages, 4 fgures", "categories": [ "hep-th", "gr-qc" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-09-30T11:04:08.000Z" } ], "analyses": { "keywords": [ "asymptotic safety", "selfdual spin-connections", "euclidean quantum gravity", "basic field variables", "functional renormalization group" ], "publication": { "doi": "10.1016/j.physletb.2015.12.016" }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1395450 } } }