标题： 手性反常磁流体力学的作用：有效场论与全息理论 显示英文标题

标题： Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography

摘要： 手征反常磁流体力学（CAMHD）为描述存在动态电磁场和轴向反常的手征流体提供了一个低能有效的框架。 这一理论在包括重离子碰撞、早期宇宙以及外尔/狄拉克半金属在内的多种物理系统中具有应用价值。 与施温格-凯迪什（SK）有效理论一起，全息模型作为互补工具，可以提供一种超越弱耦合区域的系统化CAMHD表述。 在这项工作中，我们研究了具有 $U(1)_A \times U(1)$ 对称性的全息模型，其中通过在整体规范场上的混合边界条件使电磁 $U(1)$ 场成为动力学场，并通过整体陈-西蒙斯项引入轴向反常。 通过详细的全息SK分析，我们证明从该模型推导出的有效作用低能行动精确地与Landry和Liu提出的SK场论一致，并且实际上将其推广到了有限背景轴场的情景。 这种一致性不仅验证了全息模型，还为其用于探索CAMHD未解决的问题铺平了道路，例如最近提出的手征磁电分离波和非线性手征不稳定性。 显示英文摘要

摘要： Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse physical systems, including heavy-ion collisions, the early universe, and Weyl/Dirac semimetals. Along with Schwinger-Keldysh (SK) effective theories, holographic models serve as a complementary tool to provide a systematic formulation of CAMHD that goes beyond the weak coupling regime. In this work, we explore holographic models with $U(1)_A \times U(1)$ symmetry, where the electromagnetic $U(1)$ field is rendered dynamical through mixed boundary conditions applied to the bulk gauge field and the axial anomaly is introduced via a Chern-Simons bulk term. Through a detailed holographic SK analysis, we demonstrate that the low-energy effective action derived from this model aligns precisely with the SK field theory proposed by Landry and Liu and, in fact, it generalizes it to scenarios with finite background axial field. This alignment not only validates the holographic model but also paves the way for its use in exploring unresolved aspects of CAMHD, such as the recently proposed chiral magnetic electric separation wave and nonlinear chiral instabilities.