Topological charge of lattice Abelian gauge theory

Takanori Fujiwara, Hiroshi Suzuki, Ke Wu

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The configuration space of abelian gauge theory on a periodic lattice becomes topologically disconnected when exceptional gauge field configurations are removed. 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 the Chern character obtained using a cohomological technique based on noncommutative differential calculus is shown to give a topological charge related to the topological winding number of the U(1)-bundle.

Original languageEnglish
Pages (from-to)789-807
Number of pages19
JournalProgress of Theoretical Physics
Issue number5
Publication statusPublished - May 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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