### Abstract

A consistent approach to Hamiltonian SU(N) lattice gauge field theory is developed using the maximal-tree gauge and an appropriate 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<6. We end with a brief discussion of how to entend the approach to include the spatial (inter-plaquette) correlations of the full theory, by using a coupled-cluster parametrisation of the full wave functional.

Original language | Undefined |
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Title of host publication | Proceedings of the 13th International Conference on Recent Progress in Many-Body Theories |

Place of Publication | Singapore |

Publisher | World Scientific |

Pages | 22-38 |

Number of pages | 16 |

ISBN (Print) | 981-270-035-8 |

Publication status | Published - Sep 2006 |

### Publication series

Name | Series on Advances in Quantum Many-Body Theory |
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Publisher | World Scientific |

Number | 500-266 |

Volume | 10 |

### Keywords

- METIS-237851
- EWI-8877
- IR-66806

## Cite this

Bishop, R. F., Ligterink, N. E., & Walet, N. R. (2006). Towards the coupled-cluster treatment of SU(N) lattice gauge field theory. In

*Proceedings of the 13th International Conference on Recent Progress in Many-Body Theories*(pp. 22-38). (Series on Advances in Quantum Many-Body Theory; Vol. 10, No. 500-266). Singapore: World Scientific.