Towards a coupled-cluster treatment of SU(N) lattice gauge field theory

Raymond F. Bishop, Norbert Ligterink, Niels R. Walet

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    A consistent approach to Hamiltonian SU(N) lattice gauge field theory is developed using the maximal-tree gauge and an appropriately chosen set of angular variables. The various constraints are carefully discussed, as is a practical means for their implementation. A complete set of variables for the colourless sector is thereby determined. We show that the one-plaquette problem in SU(N) gauge theory can be mapped onto a problem of N fermions on a torus, which is solved numerically for the low-lying energy spectra for N ≤ 5. We end with a brief discussion of how to extend the approach to include the spatial (inter-plaquette) correlations of the full theory, by using a coupled-cluster method parametrisation of the full wave functional.
    Original languageEnglish
    Pages (from-to)4992-5007
    Number of pages16
    JournalInternational Journal of Modern Physics B
    Publication statusPublished - 2006


    • Gauge fixing
    • Hamiltonian approach
    • Maximal-tree gauge


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