Toward a many-body treatment of Hamiltonian lattice SU(N) gauge theory

N. E. Ligterink, Niels R. Walet, R. F. Bishop

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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.
    Original languageEnglish
    Pages (from-to)215-262
    Number of pages48
    JournalAnnals of Physics
    Volume284
    DOIs
    Publication statusPublished - 2000

    Keywords

    • 2-DIMENSIONAL QCD; FIELD-THEORY; REPRESENTATION;

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