Correlation asymptotics for non-translation invariant lattice spin systems

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We obtain asymptotic expressions for the Green kernels of certain
non-translation invariant transition matrices using methods of semiclassical
and microlocal analysis. Combined with a result by Bach and M{\o}ller this
yields asymptotic formulas for the truncated two-point correlation functions of
certain non-translation invariant lattice models of real-valued spins.

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