## Abstract

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 an N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown.

Original language | English |
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Pages (from-to) | 215-262 |

Number of pages | 48 |

Journal | Annals of Physics |

Volume | 284 |

DOIs | |

Publication status | Published - 2000 |

## Keywords

- 2-DIMENSIONAL QCD; FIELD-THEORY; REPRESENTATION;

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