A gauge-invariant discrete analog of the Yang-Mills equations on a double complex

Details A gauge-invariant discrete analog of the Yang-Mills equations on a double complex A gauge-invariant discrete analog of the Yang-Mills equations on a double complex

2006-11-08

arxiv.org/abs/math-ph/0611019v1

Cubo A Mathematical Journal, (2006), Vol.8, N3, 61-78.

Physics

Mathematical Physics

LaTeX, 17 pages

Scientific paper

An intrinsically defined gauge-invariant discrete model of the Yang-Mills equations on a combinatorial analog of $\Bbb{R}^4$ is constructed. We develop several algebraic structures on the matrix-valued cochains (discrete forms) that are analogs of objects in differential geometry. We define a combinatorial Hodge star operator based on the use of a double complex construction. Difference self-dual and anti-self-dual equations will be given. In the last section we discus the question of generalizing our constructions to the case of a 4-dimensional combinatorial sphere

Affiliated with

Also associated with

No associations

Rating

A gauge-invariant discrete analog of the Yang-Mills equations on a double complex does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A gauge-invariant discrete analog of the Yang-Mills equations on a double complex, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A gauge-invariant discrete analog of the Yang-Mills equations on a double complex will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625770