Toward a Many-Body Treatment of Hamiltonian Lattice SU(N) Gauge Theory

Author： Ligterink N.E.   Walet N.R.   Bishop R.F.  

Publisher： Elsevier

ISSN： 0003-4916

Source： Annals of Physics, Vol.284, Iss.2, 2000-09, pp. : 215-262

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Abstract

We develop a consistent approach to Hamiltonian lattice gauge theory, using the maximal-tree gauge. The various constraints are discussed and implemented. An independent and complete set of variables for the colourless sector is determined. A general scheme to construct the eigenstates of the electric energy operator using a symbolic method is described. It is shown how the one-plaquette problem can be mapped onto an N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown. Copyright 2000 Academic Press.

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