Abstract
We compute the dynamical relaxation times for chiral transport phenomena in strongly coupled regime using the AdS/CFT correspondence. These relaxation times can be a useful proxy for the dynamical time scale for achieving equilibrium spin-polarization of quasi-particles in the presence of magnetic field and fluid vorticity. We identify the Kubo relations for these relaxation times and clarify some previous issues regarding time-dependence of the Chiral Vortical Effect. We study the consequences of imposing time-reversal invariance on parity-odd thermal noise fluctuations that are related to chiral transport coefficients by the fluctuation-dissipation relation. We find that time-reversal invariance dictates the equality between some of the chiral transport coefficients as well as their relaxation times.
Highlights
The anomalous transport phenomena arising from the chiral anomaly that could be present in the chiral-symmetry restored phase of quark-gluon plasma created in ultrarelativistic heavy-ion collisions have attracted much attention recently
The chiral magnetic effect (CME) [7,8], predicts a dipole charge separation [9,10,11,12] which is proportional to the magnetic field produced in offcentral collisions along the direction perpendicular to the reaction plane [13,14,15,16,17,18], that could result in the observable charge dependence of angular correlations of two charged pions [19,20,21,22,23]
We compute the dynamical timescale of chiral transport phenomena, that characterizes how fast an off-equilibrium condition relaxes to the equilibrium configuration that is dictated by a chiral anomaly, in the strongly coupled regime using the AdS=CFT correspondence
Summary
The anomalous transport phenomena arising from the chiral anomaly that could be present in the chiral-symmetry restored phase of quark-gluon plasma created in ultrarelativistic heavy-ion collisions have attracted much attention recently (see the reviews [1,2,3,4,5,6] and the references therein). The two additional transport coefficients, σBε =V, are responsible for the anomalous energy flow or momentum density along the magnetic field and vorticity Their values are fixed by chiral anomaly to be (up to temperature corrections) [80,81]. To extract the relaxation time appearing in the transport coefficient σVðωÞ from the retarded correlation function σ VðkÞ, we need to work with the constitutive relations at leading order (1.16) including the relaxation times to derive the correct Kubo relations between the relaxation time and the correlation function σ VðkÞ
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