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arxiv: 1704.03988 · v2 · pith:UMZCNUYLnew · submitted 2017-04-13 · ✦ hep-th · gr-qc· math-ph· math.MP

Renormalization group in super-renormalizable quantum gravity

classification ✦ hep-th gr-qcmath-phmath.MP
keywords gravitybetaclassfunctionsgrouplargemodelspossibility
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One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform such a calculation for the Newton constant by using the Barvinsky-Vilkovisky trace technology. The result is well-defined in a large class of models of gravity in the sense that the renormalization group beta functions do not depend on the gauge-fixing condition. Finally, we discuss the possibility to apply the results to a large class of nonlocal gravitational theories which are free of massive ghost-like states at the tree-level.

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