Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium

Abstract

Using the similarity between spacetime torsion and axial gauge couplings, we study torsional contributions to the equilibrium partition function in a stationary background. In the case of a charged fluid minimally coupled to torsion, we spot the existence of linear torsional magnetic and vortical effects, while the axial-vector current and the spin energy potential do not receive corrections in the torsion at linear order. The covariant energy-momentum tensor, on the other hand, does contain terms linear in the torsion tensor. The case of a two-flavor hadronic superfluid is also analyzed, and the torsional contributions to the constitutive relations computed. Our results show the existence of a torsional electric chiral effect mediated by the charged pions.

arXiv comment26 pages. No figures. v2: discussion expanded, typos corrected, and references added. It matches the version to be published in Journal of High Energy Physics

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• Torsion-induced chiral magnetic current in equilibrium
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• On Nieh-Yan Transport
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