关于手征反常和Yang-Mills梯度流
On the chiral anomaly and the Yang-Mills gradient flow
摘要：
目前QCD中拓扑磁化率的无奇异性普适表达式有两种，一种是基于Yang-Mills梯度流，另一种是基于密度链关联函数。后者将磁化率与反常手征沃德恒等式联系起来，而梯度流则使我们理解格点量子色动力学中拓扑扇区的出现成为可能。在这里，这两个表达式是一致的连续介质理论，为任何数量的夸克味的范围内，该理论是渐近自由的。
英文摘要：
There are currently two singularity-free universal expressions for the topological susceptibility in QCD, one based on the Yang-Mills gradient flow and the other on density-chain correlation functions. While the latter link the susceptibility to the anomalous chiral Ward identities, the gradient flow permits the emergence of the topological sectors in lattice QCD to be understood. Here the two expressions are shown to coincide in the continuum theory, for any number of quark flavours in the range where the theory is asymptotically free.
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