Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1843030 | Nuclear Physics B | 2006 | 30 Pages |
Abstract
We propose a system of nonlinear integral equations (NLIE) which gives the free energy of the Uq(slË(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 {μa} 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Zengo Tsuboi,