A STAR PRODUCT IN LATTICE GAUGE-THEORY

被引：5

作者：

BIRMINGHAM, D ^{[1
]}

RAKOWSKI, M ^{[1
]}

机构：

[1] UNIV MAINZ,INST PHYS,W-6500 MAINZ,GERMANY

来源：

PHYSICS LETTERS B | 1993年 / 299卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)90263-H

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider a variant of the cup product of simplicial cochains and its applications in discrete formulations of non-abelian gauge theory. The standard geometrical ingredients in the continuum theory all have natural analogues on a simplicial complex when this star product is used to translate the wedge product of differential forms. Although the star product is non-associative, it is graded-commutative, and the coboundary operator acts as a deviation on the star algebra. As such, it is reminiscent of the star product considered in some approaches to closed string field theory, and we discuss applications to the three dimensional non-abelian Chern-Simons theory.

引用

页码：299 / 304

页数：6

共 20 条

[1] The combinatorial theory of complexes [J].