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arXiv 2405.09751hep-thcond-mat.str-el
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流体力学的 Chern-Simons 修正

Chern-Simons modification of Fluid Mechanics

P. B. Wiegmann

AI总结:

本文提出理想流体力学的一种自然修正,通过平行引入引力与规范 Chern-Simons 项结合手性引力反常与手性流反常,发现无自旋流体运动可产生等于流体螺旋度的自旋,并诱导出 Mathisson-Papapetrou 力及手性磁效应的几何对应物。

摘要:

我们证明,理想流体的流体力学允许一种自然修正,该修正将手性引力反常(也称为混合规范-引力反常)与手性流反常结合在一起。这种修正以类似于引力的 Jackiw-Pi Chern-Simons 修正的方式,平行引入了引力 Chern-Simons 项和规范 Chern-Simons 项,并在流体力学中引入了 axion。因此,无自旋理想流体的流动通过运动获得自旋,且该自旋等于流体螺旋度。此外,时空曲率诱导出 Mathisson-Papapetrou 力的类似物以及手性磁效应的几何对应物。

英文摘要:

We show that the hydrodynamics of a perfect fluid admits a natural modification that incorporates a chiral gravitational anomaly (also known as a mixed gauge-gravity anomaly) alongside the chiral current anomaly. This modification introduces in parallel a gravitational and gauge Chern-Simons terms in a manner analogous to the Jackiw-Pi Chern-Simons modification of gravity, and features an axion in fluid mechanics. As a result, flows of a spinless perfect fluid acquire spin through motion, with the spin being equal to the fluid helicity. Furthermore, spacetime curvature induces an analogue of the Mathisson-Papapetrou force and a geometric counterpart of the chiral magnetic effect.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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