Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model

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dc.creatorTsuboi, Zengo
dc.creatorTakahashi, Minoru
dc.date2004-12-27
dc.date2004-12-28
dc.date.accessioned2026-07-07T03:02:56Z
dc.date.available2026-07-07T03:02:56Z
dc.descriptionWe propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result (cond-mat/0212280), and contain only r unknown functions. In particular, they reduce to Takahashi's NLIE for the XXZ spin chain (cond-mat/0010486) if r=1. We also calculate the high temperature expansion of the free energy. In particular for r=1 case, we have succeeded to derive the coefficients of order O((\frac{J}{T})^{99}).
dc.description19 pages, 4 figures, only the Mathematica file for the high temperature expansion is replaced, to appear in J.Phys.Soc.Jpn.Vol.74 No.3 (2005)
dc.identifierhttps://arxiv.org/abs/cond-mat/0412698
dc.identifierhttp://arxiv.org/abs/cond-mat/0412698
dc.identifierJ.Phys.Soc.Jap. 74 (2005) 898-904
dc.identifierdoi:10.1143/JPSJ.74.898
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25579
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
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