Exact solution of the Faddeev-Volkov model

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dc.creatorBazhanov, Vladimir V.
dc.creatorMangazeev, Vladimir V.
dc.creatorSergeev, Sergey M.
dc.date2007-06-21
dc.date2007-07-10
dc.date.accessioned2026-07-07T11:17:05Z
dc.date.available2026-07-07T11:17:05Z
dc.descriptionThe Faddeev-Volkov model is an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. It serves as a lattice analog of the sinh-Gordon and Liouville models and intimately connected with the modular double of the quantum group U_q(sl_2). The free energy of the model is exactly calculated in the thermodynamic limit. In the quasi-classical limit c->infinity the model describes quantum fluctuations of discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In the strongly-coupled limit c->1 the model turns into a discrete version of the D=2 Zamolodchikov's ``fishing-net'' model.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0706.3077
dc.identifierhttp://arxiv.org/abs/0706.3077
dc.identifierPhys.Lett.A372:1547-1550,2008
dc.identifierdoi:10.1016/j.physleta.2007.10.053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192886
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleExact solution of the Faddeev-Volkov model
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