Symmetry in Nonlinear Mathematical Physics - 2009

Oleg Miroshnichenko (Bogolyubov Institute for Theoretical Physics of NASU, Kyiv, Ukraine)

Differential equation for local magnetization in the boundary Ising model

It is shown 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 Painlevé function of the III kind.