Universal Yang-Mills Action on Four Dimensional Manifolds

Details Universal Yang-Mills Action on Four Dimensional Manifolds Universal Yang-Mills Action on Four Dimensional Manifolds

2006-02-21

arxiv.org/abs/hep-th/0602204v2

Int.J.Geom.Meth.Mod.Phys.3:1331-1340,2006

Physics

High Energy Physics

High Energy Physics - Theory

Latex file ; 14 pages ; 1 figure ; minor changes

Scientific paper

The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization which is known as the Born-Infeld action has been given. In this paper we give another non-linear generalization on four dimensional manifolds and call it a universal Yang-Mills action. The advantage of our model is that the action splits {\bf automatically} into two parts consisting of self-dual and anti-self-dual directions. Namely, we have automatically the self-dual and anti-self-dual equations without solving the equations of motion as in a usual case. Our method may be applicable to recent non-commutative Yang-Mills theories studied widely.

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