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• W2023343875 abstract "We study the axial anomaly defined on a finite-size lattice by using a Dirac operator which obeys the Ginsparg-Wilson relation. When the gauge group is U(1), we show that the basic structure of axial anomaly on the infinite lattice, which can be deduced by a cohomological analysis, persists even on (sufficiently large) finite-size lattices. For non-abelian gauge groups, we propose a conjecture on a possible form of axial anomaly on the infinite lattice, which holds to all orders in perturbation theory. With this conjecture, we show that a structure of the axial anomaly on finite-size lattices is again basically identical to that on the infinite lattice. Our analysis with the Ginsparg-Wilson Dirac operator indicates that, in appropriate frameworks, the basic structure of axial anomaly is quite robust and it persists even in a system with finite ultraviolet and infrared cutoffs." @default.
• W2023343875 created "2016-06-24" @default.
• W2023343875 creator A5003182563 @default.
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• W2023343875 date "2002-11-01" @default.
• W2023343875 modified "2023-10-18" @default.
• W2023343875 title "More about the axial anomaly on the lattice" @default.
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• W2023343875 doi "https://doi.org/10.1016/s0550-3213(02)00812-x" @default.
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