Abstract
We study the spectrum of the generatorHβ of the Glauber dynamics for a model of planar rotators on a lattice in the case of a high temperature 1/β. We construct two so-called one-particle subspacesH± forHβ and describe the spectrum of the generator in these subspaces. As a consequence we find time asymptotics of the correlations for the Glauber dynamics.
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