arXiv 2102.048512021-02hep-th

AdS/CFT Correspondence的手征磁效应和三点函数

Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence

Lei Yin, De-fu Hou, Hai-cang Ren

备注：: 36 pages, 2 figure
发表信息：: J. High Energ. Phys. 2021, 117 (2021)
DOI：: 10.1007/JHEP09(2021)117

摘要：

在夸克-胶子等离子体的演化过程中，手征不平衡涨落的手征磁效应更为真实，它反映了胶子的随机拓扑跃迁。在此基础上，我们计算了AdS/CFT对应中手征磁流对依赖于时空的轴向规范势和磁场的响应.与传统的恒定轴向化学势的处理不同，这里的响应函数是强耦合下$\mathcal{N}=4$超级Yang-Mills的AVV三点函数。通过迭代求解Schwarzschild-AdS $_5$背景下的非线性运动方程，我们能够用两个Heun函数表示AVV函数，并证明了它的UV/IR有限性，正如$\mathcal{N}=4$ super Yang-Mills理论所期望的那样.我们发现，手征磁流对非恒定手征不平衡的依赖性是非本地的，不同于流体动力学近似，并展示了微妙的红外线极限中发现的场论方法。我们期望我们的结果丰富了对相对论重离子碰撞中手征磁效应现象的理解。

英文摘要：

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 $\mathcal{N}=4$ 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 $\mathcal{N}=4$ 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.

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