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International Journal of Modern Physics B

COUPLED CLUSTER METHODS FOR LATTICE GAUGE THEORIES

Bruce H. J. McKellar, Conrad Leonard, Lloyd C. L. Hollenberg

Published Aug 10, 2000• 5 citations
Publisher

Abstract

We give a pedagogical account of coupled cluster methods, of Hamiltonian lattice gauge theory and of the application of coupled cluster methods to the study of Hamiltonian lattice gauge theory.
DOI
10.1142/s0217979200001151

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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.