Excited state TBA and functional relations in spinless Fermion model
Statistical Mechanics
2012-09-27 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations among them (T-system) and their certain combinations (Y-system). {}From their analytical property, we derive a closed set of non-linear integral equations which characterize the correlation length of at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which coincides with earlier results with high accuracy.
Cite
@article{arxiv.cond-mat/9903112,
title = {Excited state TBA and functional relations in spinless Fermion model},
author = {Kazumitsu Sakai},
journal= {arXiv preprint arXiv:cond-mat/9903112},
year = {2012}
}
Comments
4 pages