TOWARDS A COUPLED-CLUSTER TREATMENT OFSU(N) LATTICE GAUGE FIELD THEORY

Author:

BISHOP RAYMOND F.1,LIGTERINK NORBERT1,WALET NIELS R.1

Affiliation:

1. School of Physics and Astronomy, The University of Manchester, Sackvile Street Building, P.O. Box 88, Manchester M60 1QD, UK

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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