6533b86ffe1ef96bd12cd32f
RESEARCH PRODUCT
A star product in lattice gauge theory
Mark RakowskiDanny Birminghamsubject
PhysicsNuclear and High Energy PhysicsTheoretical physicsSimplicial complexDifferential formStar productCup productProduct (mathematics)Quantum mechanicsString field theoryExterior algebraGeneral Theoretical PhysicsDirect productdescription
Abstract 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-01-01 | Physics Letters B |