Topological terms and diffeomorphism anomalies in fluid dynamics and sigma models

V.?P. Nair

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Topological terms and diffeomorphism anomalies in fluid dynamics and sigma models

机译：流体动力学和Sigma模型中的拓扑术语和扩散异常

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The requirement of diffeomorphism symmetry for the target space can lead to anomalous commutators for the energy-momentum tensor for sigma models and for fluid dynamics, if certain topological terms are added to the action. We analyze several examples. A particular topological term is shown to lead to the known effective hydrodynamics of a dense collection of vortices, i.e., the vortex fluid theory in 2 + 1 dimensions. The possibility of a similar vortex fluid in 3 + 1 dimensions, as well as a fluid of knots and links, with possible extended diffeomorphism algebras is also discussed.

机译：如果将某些拓扑术语添加到动作中，则瞄准空间的扩散对称性对目标空间的对称性换向器可以导致用于Σ模型的能量动量张量和流体动力学。我们分析了几个例子。特定的拓扑术语显示出导致已知的液体系列的有效流体动力学，即2 + 1维度的涡流流体理论。还讨论了与3 + 1尺寸的类似涡流的可能性，以及具有可能的延伸的漫射族代数的结和链节的流体。

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《Physical review, D》 |2021年第8期|共11页
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V.?P. Nair;
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中图分类粒子物理学;
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Topological terms and diffeomorphism anomalies in fluid dynamics and sigma models

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