The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $η= \frac{2m K}{N}$ for odd N

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dc.creatorRoan, Shi-shyr
dc.date2006-11-13
dc.date2007-08-22
dc.date.accessioned2026-07-07T10:40:52Z
dc.date.available2026-07-07T10:40:52Z
dc.descriptionFollowing Baxter's method of producing Q_{72}-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter $η= \frac{2m K}{N}$ with odd $N$ where Q_{72} does not exist. We use this new Q-operator to study the functional relations in the Fabricius-McCoy comparison between the root-of-unity eight-vertex model and the superintegrable N-state chiral Potts model. By the compatibility of the constructed Q-operator with the structure of Baxter's eight-vertex (solid-on-solid) SOS model, we verify the set of functional relations of the root-of-unity eight-vertex model using the explicit form of the Q-operator and fusion weights of SOS model.
dc.descriptionLatex 28 page; Typos corrected, minor changes in presentation, References added and updated-Journal version
dc.identifierhttps://arxiv.org/abs/cond-mat/0611316
dc.identifierhttp://arxiv.org/abs/cond-mat/0611316
dc.identifierJ.Phys.A40:11019-11044,2007
dc.identifierdoi:10.1088/1751-8113/40/36/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181458
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $η= \frac{2m K}{N}$ for odd N
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