Chiral torsional effect with finite temperature, density and curvature

Abstract

We scrutinize the novel chiral transport phenomenon driven by spacetime torsion, namely the chiral torsional effect (CTE). We calculate the torsion-induced chiral currents with finite temperature, density and curvature in the most general torsional gravity theory. The conclusion complements the previous study on the CTE by including curvature and substantiates the relation between the CTE and the Nieh-Yan anomaly. We also analyze the response of chiral torsional current to an external electromagnetic field. The resulting topological current is analogous to that in the axion electrodynamics.

8 pages, 1 figure

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Cited by in corpus (9)

• Thermal transport, geometry, and anomalies
• Helical magnetic effect and the chiral anomaly
• Gravitomagnetic Helicity
• Overview of external electromagnetism and rotation in lattice QCD
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• On Nieh-Yan Transport
• Parity violation in Poincaré gauge gravity
• Chiral current induced by torsional Weyl anomaly
• Thermal response of the Nieh-Yan term