Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid

TL;DR

This paper computes anomalous currents in chiral nuclear matter, revealing nondissipative transport effects in a superfluid phase, and introduces methods to evaluate equilibrium and out-of-equilibrium properties.

Contribution

It introduces a novel approach using generalized transgression to evaluate currents and constitutive relations in chiral superfluids with chiral imbalance.

Findings

Identification of nondissipative chiral electric, magnetic, and vortical effects in the superfluid phase.

Determination of out-of-equilibrium nondissipative transport coefficients.

Analysis of both broken and unbroken phases of chiral nuclear matter.

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.