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

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

2000-01-25

arxiv.org/abs/hep-lat/0001028v1

Annals Phys. 284 (2000) 215-262

Physics

High Energy Physics

High Energy Physics - Lattice

39 pages, 12 figures, and 2 tables

Scientific paper

10.1006/aphy.2000.6070

We develop a consistent approach to Hamiltonian lattice gauge theory, using the maximal-tree 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 a N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown.

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