Abstract

The Chiral Magnetic Effect (CME) is a macroscopic manifestation of fundamental chiral anomaly in a many-body system of chiral fermions, and emerges as an anomalous transport current in the fluid dynamics framework. Experimental observation of the CME is of great interest and has been reported in Dirac and Weyl semimetals. Significant efforts have also been made to look for the CME in heavy ion collisions. Critically needed for such a search is the theoretical prediction for the CME signal. In this paper we report a first quantitative modeling framework, Anomalous Viscous Fluid Dynamics (AVFD), which computes the evolution of fermion currents on top of realistic bulk evolution in heavy ion collisions and simultaneously accounts for both anomalous and normal viscous transport effects. AVFD allows a quantitative understanding of the generation and evolution of CME-induced charge separation during the hydrodynamic stage, as well as its dependence on theoretical ingredients. With reasonable estimates of key parameters, the AVFD simulations provide the first phenomenologically successful explanation of the measured signal in 200 AGeV AuAu collisions.

Highlights

  • The Anomalous Viscous Fluid Dynamics (AVFD) allows a quantitative understanding of the generation and evolution of Chiral Magnetic Effect (CME)-induced charge separation during hydrodynamic stage as well as its dependence on theoretical ingredients

  • If there is considerable CME transport occurring before the start of hydrodynamics, such pre-hydro CME contribution can be incorporated into the AVFD framework as nontrivial initial conditions for the currents Jχμ,f and such pre-hydro charge separation survives into final hadron observables with certain reduction factor, as demonstrated by previous transport study [52] and quantitatively seen in our AVFD simulations

  • Summary and Discussions.— In summary, the CME is a new type of macroscopic anomalous transport aris

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Summary

Introduction

In this paper we report a first quantitative modeling framework, the Anomalous Viscous Fluid Dynamics (AVFD), which computes the evolution of fermion currents on top of realistic bulk evolution in heavy ion collisions and simultaneously accounts for both anomalous and normal viscous transport effects.

Results
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