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

Abstract:
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.