Four-dimensional Lattice Gauge Theory with ribbon categories and the Crane-Yetter state sum
| dc.creator | Pfeiffer, Hendryk | |
| dc.date | 2001-06-04 | |
| dc.date | 2001-09-06 | |
| dc.date.accessioned | 2026-07-07T10:34:07Z | |
| dc.date.available | 2026-07-07T10:34:07Z | |
| dc.description | Lattice Gauge Theory in 4-dimensional Euclidean space-time is generalized to ribbon categories which replace the category of representations of the gauge group. This provides a framework in which the gauge group becomes a quantum group while space-time is still given by the `classical' lattice. At the technical level, this construction generalizes the Spin Foam Model dual to Lattice Gauge Theory and defines the partition function for a given triangulation of a closed and oriented piecewise-linear 4-manifold. This definition encompasses both the standard formulation of d=4 pure Yang-Mills theory on a lattice and the Crane-Yetter invariant of 4-manifolds. The construction also implies that a certain class of Spin Foam Models formulated using ribbon categories are well-defined even if they do not correspond to a Topological Quantum Field Theory. | |
| dc.description | 41 pages, LaTeX, postscript/PiCTeX figures; v2:typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0106029 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0106029 | |
| dc.identifier | J.Math.Phys.42:5272-5305,2001 | |
| dc.identifier | doi:10.1063/1.1398063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179368 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Four-dimensional Lattice Gauge Theory with ribbon categories and the Crane-Yetter state sum | |
| dc.type | text |