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 |
|---|---|
| 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 |
|---|---|
| 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.