Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory
Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory
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DOI：
10.1103/physrevd.97.051901
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发表时间：
2017-01
影响因子：
5
通讯作者：
N. Mueller;R. Venugopalan
中科院分区：
文献类型：
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作者：
N. Mueller;R. Venugopalan
在以前的工作中，我们概述了一个世界线框架，它可以用于系统地计算极端相对论重离子碰撞中的手征磁效应(CME)。为此，我们首先将QCD有效作用中费米子行列式的实部表示为背景规范场中自旋的有色格拉斯曼点粒子的超对称世界线作用，运动方程是Bargmann-Michel-Teledi和Wong方程的协变推广。相反，手征反常是由费米子行列式的位相引起的。值得注意的是，后者也可以表示为点粒子世界线路径积分，它可以用来推导反常的轴向矢量电流。在这里，我们将展示如何在费米子行列式实部的一致非相对论绝热极限下获得Berry相。我们的工作提供了一个一般的第一原理证明，Berry相的拓扑与手征反常的拓扑是不同的，这证实了Fujikawa在特定背景下的先前论点。这表明，在仅包括Berry相的重离子碰撞中，对CME的手性动力学处理是不完整的。我们概述了世界线协变相对论手征动力学理论的元素，该理论捕捉了手性电流如何被多体散射和拓扑涨落修改的物理学原理。
In previous work, we outlined a worldline framework that can be used for systematic computations of the chiral magnetic effect (CME) in ultrarelativistic heavy-ion collisions. Towards this end, we first expressed the real part of the fermion determinant in the QCD effective action as a supersymmetric worldline action of spinning, colored, Grassmanian point particles in background gauge fields, with equations of motion that are covariant generalizations of the Bargmann-Michel-Telegdi and Wong equations. The chiral anomaly, in contrast, arises from the phase of the fermion determinant. Remarkably, the latter too can be expressed as a point particle worldline path integral, which can be employed to derive the anomalous axial vector current. We will show here how Berry’s phase can be obtained in a consistent nonrelativistic adiabatic limit of the real part of the fermion determinant. Our work provides a general first principles demonstration that the topology of Berry’s phase is distinct from that of the chiral anomaly confirming prior arguments by Fujikawa in specific contexts. This suggests that chiral kinetic treatments of the CME in heavy-ion collisions that include Berry’s phase alone are incomplete. We outline the elements of a worldline covariant relativistic chiral kinetic theory that captures the physics of how the chiral current is modified by many-body scattering and topological fluctuations.