TY - JOUR

T1 - Towards a solution of pure Yang-Mills theory in 3 + 1 dimensions

AU - Freidel, Laurent

AU - Leigh, Robert G.

AU - Minic, Djordje

N1 - Funding Information:
We would like to thank A. Yelnikov for many discussions and collaboration. We would also like to thank R. Brout, K. Gawedzki, V.P. Nair, M. Rozali, L. Smolin and T. Takeuchi for interesting conversations regarding the material presented in this Letter. We also thank I. Bars for e-mail communications concerning his work. R.G.L. was supported in part by the US Department of Energy under contract DE-FG02-91ER40709. D.M. is supported in part by the US Department of Energy under contract DE-FG05-92ER40677. Many thanks to Perimeter Institute for hospitality.

PY - 2006/9/28

Y1 - 2006/9/28

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2006.08.030

DO - 10.1016/j.physletb.2006.08.030

M3 - Article

AN - SCOPUS:33748317913

VL - 641

SP - 105

EP - 111

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -