标题： 手征异常磁流体动力学的实现：有效场论和全息理论 显示英文标题

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

摘要： 手征反常磁流体动力学（CAMHD）为描述存在动态电磁场和轴向反常情况下的手征流体提供了一个低能有效框架。 该理论在多种物理系统中都有应用，包括重离子碰撞、早期宇宙以及外尔/狄拉克半金属。 除了施温格-科尔迪什（SK）有效理论外，全息模型作为一种补充工具，能够系统地表述超越弱耦合区的CAMHD。 在本工作中，我们研究具有$U(1)_A \times U(1)$对称性的全息模型，其中通过在体规范场上施加混合边界条件使电磁$U(1)$场变得动态，并通过一个陈-西蒙斯体项引入轴向反常。 通过详细的全息施温格-科尔迪什分析，我们证明由此模型导出的低能有效作用量与Landry和Liu提出的SK场论精确一致，实际上将其推广到了存在有限背景轴向场的情况。 这种一致性不仅验证了全息模型，还为其在探索CAMHD未解问题中的应用铺平了道路，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.