Differential equation for local magnetization in the boundary Ising model
Mathematical Physics
2009-01-23 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We show that the local magnetization in the massive boundary Ising model on the half-plane with boundary magnetic field satisfies second order linear differential equation whose coefficients are expressed through Painleve function of the III kind.
Cite
@article{arxiv.0808.3808,
title = {Differential equation for local magnetization in the boundary Ising model},
author = {Oleg Miroshnichenko},
journal= {arXiv preprint arXiv:0808.3808},
year = {2009}
}
Comments
11 pages