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

Abstract

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 Schrödinger 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.

12 pages

References in corpus (2)

• On pure Yang-Mills theory in 3+1 dimensions: Hamiltonian, vacuum and gauge invariant variables
• Towards the QCD String: 2+1 dimensional Yang-Mills theory in the planar limit

Cited by in corpus (5)

• Glueball masses in the large N limit
• Time and M-theory
• On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• On pure Yang-Mills theory in 3+1 dimensions: Hamiltonian, vacuum and gauge invariant variables