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

被引：3

作者：

Yin, Lei ^{[1
,2
]}

Hou, Defu ^{[3
,4
]}

Ren, Hai-cang ^{[3
,4
,5
]}

机构：

[1] South China Normal Univ, Inst Quantum Matter, Guangdong Prov Key Lab Nucl Sci, Guangzhou 510006, Peoples R China

[2] South China Normal Univ, Southern Nucl Sci Comp Ctr, Guangdong Hong Kong Joint Lab Quantum Matter, Guangzhou 510006, Peoples R China

[3] Cent China Normal Univ, Inst Particle Phys, 152 Luoyu Rd, Wuhan 430079, Peoples R China

[4] Cent China Normal Univ, Key Lab Quark & Lepton Phys MOE, 152 Luoyu Rd, Wuhan 430079, Peoples R China

[5] Rockefeller Univ, Phys Dept, 1230 York Ave, New York, NY 10021 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 09期

关键词：

AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and quark-gluon plasmas;

D O I：

10.1007/JHEP09(2021)117

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

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 = 4 super Yang-Mills at strong coupling. Through an iterative solution of the nonlinear equations of motion in Schwarzschild-AdS(5) 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 = 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.

引用

页数：36

共 40 条

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