Infinite-temperature long-time dynamics of Heisenberg model H^=-1/2tsumi,{jJ}ᵢⱼS{^}ᵢ·S{^}ⱼ$ is investigated. It is shown that the quantum-spin pair correlator is equal to the correlator of a classically evaluated vector field averaged over the initial conditions with respect to the Gaussian measure. In the continuous-limit case, the scaling estimations allow one to find the one-point correlator that turns out to be C(r=0;t){∝}const×{}t^-6/7. All results are obtained by straightforward procedures without any assumptions of the phenomenological character.
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Chertkov et al. (1994) studied this question.
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