Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium

TL;DR

This paper investigates how spacetime torsion influences anomalous fluids at thermal equilibrium, revealing torsional magnetic and vortical effects, and identifying a torsional electric chiral effect in hadronic superfluids.

Contribution

It introduces a novel analysis of torsional effects on equilibrium partition functions and constitutive relations in anomalous fluids, including the discovery of a torsional electric chiral effect.

Findings

Linear torsional magnetic and vortical effects identified.

Torsional contributions to the covariant energy-momentum tensor found.

Torsional electric chiral effect mediated by charged pions discovered.

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.