具有额外维数的各向异性格点场的反常抵消
Anomaly cancellation for anisotropic lattice fields with extra dimensions
摘要：
电流从体是由于异常的膜，但电流的缺乏是不一定，由于异常取消，但由于存在的分层相的手征零模式本身的缺乏。这可以从三维和五维中陈-西蒙斯项的差异来理解。因此，四维空间中的反常相消，对于屏蔽体块内的量子效应对边界的影响至关重要，但只有沿着层状相和库仑相之间的过渡线才有意义，而这又要求规范群存在紧致的U（1）因子。
英文摘要：
The current flow from the bulk is due to the anomaly on the brane-but the absence of current flow is not, necessarily, due to anomaly cancellation, but to the absence of the chiral zero modes themselves, due to the existence of the layered phase. This can be understood in terms of the difference between the Chern-Simons terms in three and five dimensions. Thus the anomaly cancellation in four dimensions, which is essential for shielding the boundary from quantum effects within the bulk, makes sense only along the transition line between the layered and the Coulomb phase, which, in turn, requires the presence of a compact U(1) factor for the gauge group.
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