Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-01-26
Phys.Rev. D71 (2005) 054503
Physics
High Energy Physics
High Energy Physics - Lattice
Still Latex, 18 pages, no figures, with some further typographical errors corrected. Version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.71.054503
We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite this non-locality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds to all orders. Heavy quarks are confined, the spectrum is gapped, and the space-like Wilson loop has area decay.
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