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Regular version of the site

Article

Long-time dynamics of the infinite-temperature Heisenberg magnet

Physical Review B: Condensed Matter and Materials Physics. 1994. Vol. 49. No. 5. P. 3592-3595.
Kolokolov I., Chertkov M.

Infinite-temperature long-time dynamics of Heisenberg model H^=-1/2tsumi,jJijS^iS^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×t6/7. All results are obtained by straightforward procedures without any assumptions of the phenomenological character.