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Main Author: Melichev, Oleg
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.13090
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author Melichev, Oleg
author_facet Melichev, Oleg
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_13090
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quadratic gravity with propagating torsion and asymptotic freedom
Melichev, Oleg
High Energy Physics - Theory
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.
title Quadratic gravity with propagating torsion and asymptotic freedom
topic High Energy Physics - Theory
url https://arxiv.org/abs/2504.13090