Topological charge of lattice Abelian gauge theory

Takanori Fujiwara; Hiroshi Suzuki; Ke Wu

doi:10.1143/PTP.105.789

Topological charge of lattice Abelian gauge theory

Takanori Fujiwara, Hiroshi Suzuki, Ke Wu

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	789-807
Number of pages	19
Journal	Progress of Theoretical Physics
Volume	105
Issue number	5
DOIs	https://doi.org/10.1143/PTP.105.789
Publication status	Published - May 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1143/PTP.105.789

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Topological charge of lattice Abelian gauge theory

Abstract

All Science Journal Classification (ASJC) codes

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