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Toward a Many-Body Treatment of Hamiltonian Lattice SU(N) Gauge Theory

✍ Scribed by N.E. Ligterink; N.R. Walet; R.F. Bishop

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 517 KB
Volume: 284
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.2000.6070

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✦ Synopsis

We develop a consistent approach to Hamiltonian lattice gauge theory, using the maximaltree 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.

2000 Academic Press 1. The Lagrangian approach, being based on an imaginary-time evolution, does not allow easy access to the vacuum wave functional. By contrast, in the Hamiltonian approach such a wave functional is at the core of the calculation, and we cannot avoid calculating it. Once the vacuum wave functional is known, most

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