Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-01-26
Prog.Theor.Phys. 105 (2001) 789-807
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages, latex, nofigure
Scientific paper
10.1143/PTP.105.789
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.
Fujiwara Takanori
Suzuki Hiroshi
Wu Ke
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