Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
| dc.creator | Tsuboi, Zengo | |
| dc.date | 2002-12-12 | |
| dc.date.accessioned | 2026-07-07T10:48:07Z | |
| dc.date.available | 2026-07-07T10:48:07Z | |
| dc.description | We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we derive a new family of nonlinear integral equations (NLIE). In particular, a subset of these NLIE forms a system of NLIE which contains only a finite number of unknown functions. For r=1, this subset of NLIE reduces to Takahashi's NLIE for the XXX spin chain. A relation between the traditional TBA equations and our new NLIE is clarified. Based on our new NLIE, we also calculate the high temperature expansion of the free energy. | |
| dc.description | 24 pages, 4 figures, to appear in J. Phys. A: Math. Gen | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212280 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212280 | |
| dc.identifier | J.Phys.A36:1493,2003 | |
| dc.identifier | doi:10.1088/0305-4470/36/5/321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183767 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model | |
| dc.type | text |