The dual of pure non-Abelian lattice gauge theory as a spin foam model
| dc.creator | Oeckl, Robert | |
| dc.creator | Pfeiffer, Hendryk | |
| dc.date | 2000-08-11 | |
| dc.date | 2001-01-15 | |
| dc.date.accessioned | 2026-07-07T11:31:49Z | |
| dc.date.available | 2026-07-07T11:31:49Z | |
| dc.description | We derive an exact duality transformation for pure non-Abelian gauge theory regularized on a lattice. The duality transformation can be applied to gauge theory with an arbitrary compact Lie group G as the gauge group and on Euclidean space-time lattices of dimension d >= 2. It maps the partition function as well as the expectation values of generalized non-Abelian Wilson loops (spin networks) to expressions involving only finite-dimensional unitary representations, intertwiners and characters of G. In particular, all group integrations are explicitly performed. The transformation maps the strong coupling regime of non-Abelian gauge theory to the weak coupling regime of the dual model. This dual model is a system in statistical mechanics whose configurations are spin foams on the lattice. | |
| dc.description | 28 pages, LaTeX + PicTeX; typographical errors corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0008095 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0008095 | |
| dc.identifier | Nucl.Phys.B598:400-426,2001 | |
| dc.identifier | doi:10.1016/S0550-3213(00)00770-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197394 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | The dual of pure non-Abelian lattice gauge theory as a spin foam model | |
| dc.type | text |