Towards a solution of pure Yang-Mills theory in 3+1 dimensions

Details Towards a solution of pure Yang-Mills theory in 3+1 dimensions Towards a solution of pure Yang-Mills theory in 3+1 dimensions

2006-04-25

arxiv.org/abs/hep-th/0604184v1

Phys.Lett.B641:105-111,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/j.physletb.2006.08.030

We discuss an analytic approach towards the solution of pure Yang-Mills theory in 3+1 dimensional spacetime. The approach is based on the use of local gauge invariant variables in the Schr\"odinger representation and the large $N$, planar limit. In particular, within this approach we point out unexpected parallels between pure Yang-Mills theory in 2+1 and 3+1 dimensions. The most important parallel shows up in the analysis of the ground state wave-functional especially in view of the numerical similarity of the existing large N lattice simulations of the spectra of 2+1 and 3+1 Yang Mills theories.

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