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arXiv · hep-lat/0001029

Topological Charge of Lattice Abelian Gauge Theory

T. Fujiwara·H. Suzuki·K. Wu
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Abstract

Configuration space of abelian gauge theory on a periodic lattice becomes topologically disconnected by excising exceptional gauge field configurations. It is possible to define a U(1) bundle from the nonexceptional link variables by a smooth interpolation of the transition functions. The lattice analogue of Chern character obtained by a cohomological technique based on the noncommutative differential calculus is shown to give a topological charge related to the topological winding number of the U(1) bundle.

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T. Fujiwara, H. Suzuki, K. Wu. 2000-01-26. Topological Charge of Lattice Abelian Gauge Theory. https://doi.org/10.1143/ptp.105.789

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