Novel generalization of three-dimensional Yang-Mills theory

Details Novel generalization of three-dimensional Yang-Mills theory Novel generalization of three-dimensional Yang-Mills theory

2002-09-22

arxiv.org/abs/math-ph/0209050v1

J.Math.Phys. 38 (1997) 3399-3413

Physics

Mathematical Physics

Scientific paper

10.1063/1.531859

A class of new nonabelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional Yang-Mills theory featuring a novel nonlinear gauge symmetry and field equations for Lie-algebra valued vector potential fields. The nonlinear form of the gauge symmetry and field equations relies on the vector cross-product and vector curl operator available only in three dimensions and makes use of an auxiliary Lie bracket together with the Lie bracket used in Yang-Mills theory. A gauge covariant formulation of the new theories is given which utilizes the covariant derivative and curvature from the geometrical formulation of Yang-Mills theory. Further features of the new theories are discussed.

Affiliated with

Also associated with

No associations

Rating

Novel generalization of three-dimensional Yang-Mills theory 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 Novel generalization of three-dimensional Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Novel generalization of three-dimensional Yang-Mills theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577125