Topological charge of lattice abelian gauge theory

被引：18

作者：

Fujiwara, T ^{[1
]}

Suzuki, H

Wu, K

机构：

[1] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

[2] Abdus Salam ICTP, High Energy Grp, I-34014 Trieste, Italy

[3] Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China

来源：

PROGRESS OF THEORETICAL PHYSICS | 2001年 / 105卷 / 05期

关键词：

D O I：

10.1143/PTP.105.789

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：789 / 807

页数：19

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