Quadratic gravity with propagating torsion and asymptotic freedom

2025/04/17 by Oleg Melichev, Melichev, Oleg · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2504.13090

Abstract

We consider a class of metric-affine gravitational theories with action quadratic in curvature and torsion tensors. Using the heat kernel technique, we compute the torsion contributions to the one-loop counterterms in the ultraviolet limit. It is found that vectorial and axial components of torsion preserve the qualitative picture of the renormalization group flow of the metric sector. However, there exists a specific nonminimal kinetic term for the pure tensorial (hook-antisymmetric traceless) component of torsion that renders the gravitational couplings asymptotically free in the absence of tachyons.

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Cited by

• Alleviating the Hubble tension with Torsion Condensation (TorC)
• Infrared foundations for quantum geometry I: Catalogue of totally symmetric rank-three field theories
• Can metric-affine gravity be saved?

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