Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid

Abstract

The anomalous currents of two-flavor chiral nuclear matter in the presence of chiral imbalance are computed, using recently developed methods exploiting generalized transgression, which facilitates the evaluation of both the equilibrium partition function and the covariant currents. The constitutive relations for both the broken and unbroken phase of the theory are studied and the out-of-equilibrium nondissipative transport coefficients determined. In the superfluid phase, the vector covariant currents exhibit nondissipative chiral electric, magnetic, and vortical effects, the latter governed by chiral imbalance.

36 pages, no figures. v2: minor changes; expanded discussions on the relevance of covariant currents for charge transport and on the emergence of T-odd modes in the broken phase; typos corrected and references added. It matches the version to be published in JHEP

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• Gravitational Anomaly and Transport
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
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• On Nieh-Yan Transport
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• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Constitutive relations of a chiral hadronic fluid
• Anomalous Strangeness Transport
• Vorticity-induced effects from Wess-Zumino-Witten terms