Nonlinear Integral Equations for Thermodynamics of the U q ( ̂ sl ( r + 1 ) ) Perk - Schultz Model
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چکیده
We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the Uq( ̂ sl(r + 1)) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result, and contain only r unknown functions. In particular, they reduce to Takahashi’s NLIE for the XXZ spin chain 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(( J T )99). Short title: Nonlinear integral equation MSC: 82B23; 45G15; 82B20; 17B80 PACS2001: 02.30.Rz; 02.30.Ik; 05.50.+q; 05.70.-a
منابع مشابه
4 Nonlinear Integral Equations for Thermodynamics of the U q ( ̂ sl ( r + 1 ) ) Perk - Schultz Model
We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the Uq( ̂ sl(r + 1)) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result, and contain only r unknown functions. In particular, they reduce to Takahashi’s NLIE for the XXZ spin chain if r = 1. We also calculate the high temperature expansion of the free energy....
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تاریخ انتشار 2008