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On the renormalization of Metric-Affine Gravity theories

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arxiv 2406.14146 v1 pith:S64QYAD3 submitted 2024-06-20 hep-th

classification hep-th
keywords theoriesactionnonmetricityrenormalizationtorsionadditionaffinebeta
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation of one-loop divergences, starting from a simple yet phenomenologically viable modification of the Yang--Mills-like action. Similarly to what happens in Poincar\'e gauge theory, in addition to the action, quadratic in curvature, torsion, and nonmetricity, many more terms are generated. We correct a known result for the beta function of the Yang--Mills term and show that considerations previously presented in the literature are incomplete.

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Cited by 1 Pith paper

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  1. Complete background cosmology of parity-even quadratic metric-affine gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The full background dynamics of parity-even quadratic metric-affine gravity in FLRW spacetimes are derived, including branches with spatial-curvature screening and analytic de Sitter-like solutions.

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