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

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 electr...

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Bibliographic Details
Published inAnnals of physics Vol. 284; no. 2; pp. 215 - 262
Main Authors Ligterink, N.E., Walet, N.R., Bishop, R.F.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2000
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Summary: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.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.2000.6070