Chiral magnetic effect and three-point function from AdS/CFT correspondence

被引:0
作者
Lei Yin
Defu Hou
Hai-cang Ren
机构
[1] South China Normal University,Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter
[2] South China Normal University,Guangdong
[3] Central China Normal University,Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center
[4] The Rockefeller University,Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE)
来源
Journal of High Energy Physics | / 2021卷
关键词
AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and quark-gluon plasmas;
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摘要
The chiral magnetic effect with a fluctuating chiral imbalance is more realistic in the evolution of quark-gluon plasma, which reflects the random gluonic topological transition. Incorporating this dynamics, we calculate the chiral magnetic current in response to space-time dependent axial gauge potential and magnetic field in AdS/CFT correspondence. In contrast to conventional treatment of constant axial chemical potential, the response function here is the AVV three-point function of the N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 super Yang-Mills at strong coupling. Through an iterative solution of the nonlinear equations of motion in Schwarzschild-AdS5 background, we are able to express the AVV function in terms of two Heun functions and prove its UV/IR finiteness, as expected for N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 super Yang-Mills theory. We found that the dependence of the chiral magnetic current on a non-constant chiral imbalance is non-local, different from hydrodynamic approximation, and demonstrates the subtlety of the infrared limit discovered in field theoretic approach. We expect our results enrich the understanding of the phenomenology of the chiral magnetic effect in the context of relativistic heavy ion collisions.
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