Differential equation for local magnetization in the boundary Ising model
arXiv:0808.3808 · doi:10.1016/j.nuclphysb.2008.11.005
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.
11 pages