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Differential equation for local magnetization in the boundary Ising model
Authors:Oleg Miroshnichenko
Institution:Bogolyubov Institute for Theoretical Physics, Kiev 03143, Ukraine
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.
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