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

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

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    Abstract

    A consistent approach to Hamiltonian SU(N) lattice gauge field theory is developed using the maximal-tree gauge and an appropriate 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<6. We end with a brief discussion of how to entend the approach to include the spatial (inter-plaquette) correlations of the full theory, by using a coupled-cluster parametrisation of the full wave functional.
    Original languageUndefined
    Title of host publicationProceedings of the 13th International Conference on Recent Progress in Many-Body Theories
    Place of PublicationSingapore
    PublisherWorld Scientific
    Pages22-38
    Number of pages16
    ISBN (Print)981-270-035-8
    Publication statusPublished - Sep 2006

    Publication series

    NameSeries on Advances in Quantum Many-Body Theory
    PublisherWorld Scientific
    Number500-266
    Volume10

    Keywords

    • METIS-237851
    • EWI-8877
    • IR-66806

    Cite this

    Bishop, R. F., Ligterink, N. E., & Walet, N. R. (2006). Towards the coupled-cluster treatment of SU(N) lattice gauge field theory. In Proceedings of the 13th International Conference on Recent Progress in Many-Body Theories (pp. 22-38). (Series on Advances in Quantum Many-Body Theory; Vol. 10, No. 500-266). Singapore: World Scientific.