Nonlinear Integral Equations and high temperature expansion for the $U_{q}(\hat{sl}(r+1|s+1))$ Perk-Schultz Model

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dc.creatorTsuboi, Zengo
dc.date2005-10-18
dc.date.accessioned2026-07-07T11:04:18Z
dc.date.available2026-07-07T11:04:18Z
dc.descriptionWe propose a system of nonlinear integral equations (NLIE) which gives the free energy of the $U_{q}(widehat{sl}(r+1|s+1))$ Perk-Schultz model. In contrast with traditional thermodynamic Bethe ansatz equations, our NLIE contain only r+s+1 unknown functions. In deriving the NLIE, the quantum (supersymmetric) Jacobi-Trudi and Giambelli formula and a duality for an auxiliary function play important roles. By using our NLIE, we also calculate the high temperature expansion of the free energy. General formulae of the coefficients with respect to arbitrarily rank r+s+1, chemical potentials $\{μ_{a}\}$ and q have been written down in terms of characters up to the order of 5. In particular for specific values of the parameters, we have calculated the high temperature expansion of the specific heat up to the order of 40.
dc.description35 pages, 3 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0510458
dc.identifierhttp://arxiv.org/abs/cond-mat/0510458
dc.identifierNucl.Phys.B737:261-290,2006
dc.identifierdoi:10.1016/j.nuclphysb.2005.12.017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188846
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonlinear Integral Equations and high temperature expansion for the $U_{q}(\hat{sl}(r+1|s+1))$ Perk-Schultz Model
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