Charge redistribution from novel magneto-vorticity coupling in anomalous hydrodynamics

Koichi Hattori,Yi Yin

doi:10.1016/j.nuclphysa.2017.05.009

Abstract

We discuss new transport phenomena in the presence of both a strong magnetic field and a vortex field. Their interplay induces a charge distribution and a current along the magnetic field. We show that the associated transport coefficients can be obtained from a simple analysis of the single-particle distribution functions and also from the Kubo formula calculation. The consistent results from these analyses suggest that the transport coefficients are tied to the chiral anomaly in the (1+1) dimension because of the dimensional reduction in the lowest Landau levels.

Highlights

It has been known that spectra of charged fermions are subject to the Landau level discretization in magnetic fields, and that the (1+1)-dimensional chiral fermions emerges in the lowest Landau level (LLL)
This fact inspired a lot of new ideas in the last decade: To name a few, the interplay between the chiral anomaly and the magnetic field induces currents along the magnetic field which are known as chiral magnetic effect and chiral separation effect
We have proposed that an interplay between effects of the strong magnetic field and the vortices in quark-gluon plasma (QGP) gives rise to novel transport phenomena, based on our recent publication [6]

Summary

Introduction

It has been known that spectra of charged fermions are subject to the Landau level discretization in magnetic fields, and that the (1+1)-dimensional chiral fermions emerges in the lowest Landau level (LLL). This fact inspired a lot of new ideas in the last decade: To name a few, the interplay between the chiral anomaly and the magnetic field induces currents along the magnetic field which are known as chiral magnetic effect and chiral separation effect We have proposed that an interplay between effects of the strong magnetic field and the vortices in QGP (cf., Fig. 1) gives rise to novel transport phenomena, based on our recent publication [6]. Based on field-theoretical analysis by the Kubo formula, we explicitly showed that the associated transport coefficients are tied to the chiral anomaly in the (1+1) dimensions

Consequences of the magneto-vorticity coupling

Summary and prospects