论文标题
流体动力学和Sigma模型中的拓扑术语和差异异常
Topological Terms and Diffeomorphism Anomalies in Fluid Dynamics and Sigma Models
论文作者
论文摘要
如果将某些拓扑术语添加到动作中，则对目标空间的差异对称性对目标空间的对称性可能会导致对sigma模型和流体动力学的能量托运量的异常换向器。我们分析了几个例子。特定的拓扑术语被证明导致涡流集合的已知有效流体动力学，即2+1维中的涡流流体理论。还讨论了在3+1维中类似的涡流流体，以及结的液体和链接的流体，并可能具有扩展的差异代数。
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.
