On Nieh-Yan Transport

Abstract

We study nondissipative transport induced by the Nieh-Yan anomaly. After computing the torsional terms in the equilibrium partition function using transgression, we find the constitutive relations for the covariant axial-vector, heat, stress, and spin currents. A number of new transport effects are found, driven by background torsion and the spin chemical potential. Torsional constitutive relations in two-dimensional systems are also analyzed.

arXiv comment21 pages, no figures. v2: discussion of general aspects of the Nieh-Yan anomaly expanded, references added, and typos corrected. It matches the version to be published in Journal of High Energy Physics

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Cited by in corpus (4)

• Hydrodynamics, spin currents and torsion
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Chiral current induced by torsional Weyl anomaly
• Thermal response of the Nieh-Yan term