A new Q-matrix in the Eight-Vertex Model
| dc.creator | Fabricius, Klaus | |
| dc.date | 2006-10-17 | |
| dc.date | 2007-09-10 | |
| dc.date.accessioned | 2026-07-07T10:57:50Z | |
| dc.date.available | 2026-07-07T10:57:50Z | |
| dc.description | We construct a $Q$-matrix for the eight-vertex model at roots of unity for crossing parameter $η=2mK/L$ with odd $L$, a case for which the existing constructions do not work. The new $Q$-matrix $\Q$ depends as usual on the spectral parameter and also on a free parameter $t$. For $t=0$ $\Q$ has the standard properties. For $t\neq 0$, however, it does not commute with the operator $S$ and not with itself for different values of the spectral parameter. We show that the six-vertex limit of $\Q(v,t=iK'/2)$ exists. | |
| dc.description | 10 pages section on quasiperiodicity added, typo corrected, published version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610481 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610481 | |
| dc.identifier | J.Phys.A40:4075-4086,2007 | |
| dc.identifier | doi:10.1088/1751-8113/40/15/002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186891 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A new Q-matrix in the Eight-Vertex Model | |
| dc.type | text |