Abstract
We study the constitutive relations of a chiral hadronic fluid in presence of non-Abelian’t Hooft anomalies. Analytical expressions for the covariant currents are obtained at first order in derivatives in the chiral symmetric phase, for both two and three quark flavors in the presence of chiral imbalance. We also investigate the constitutive relations after chiral symmetry breaking at the leading order.
Highlights
Quantum anomalies have important effects in relativistic hydrodynamics, as they induce extra, parity-odd terms in the constitutive relations
We investigated non-dissipative transport induced by chiral imbalance in a hadronic fluid with N f = 2, 3, both at zeroth and first order in the hydrodynamic expansion
By using the equilibrium partition function formalism (EPFF), we have characterized the effects induced by external electromagnetic fields and fluid vorticity
Summary
Quantum anomalies have important effects in relativistic hydrodynamics, as they induce extra, parity-odd terms in the constitutive relations. The two associated susceptibilities, σB and σV, have been computed using a wide variety of methods, for example Kubo relations [4,5,6], fluid/gravity correspondence [7,8,9,10], as well as the equilibrium partition function formalism (EPFF) [11,12,13] The latter technique is especially convenient in systems with spontaneous symmetry breaking (SSB), as in this case the constitutive relations can be obtained directly from the expression of the Bardeen-Zumino (BZ) current [14], avoiding the calculation of the, usually cumbersome, Wess-Zumino-Witten (WZW) functional describing the dynamics of Nambu-Goldstone (NG) bosons [15, 16]. We will extend this study to the hydrodynamics in presence of SSB, and describe the dynamics of the NG bosons at the lowest order
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
