Abstract
We calculate the spin-spin relaxation function for a two-dimensional quantum antiferromagnet at low temperature from first principles. The calculation justifies the picture of the system as a weakly interacting Bose gas of spin waves. The long wavelength behavior at T=0 is qualitatively consistent with hydrodynamic predictions based upon the existence of long-range order, although the spin-wave velocity contains nontrivial dynamical shifts that cannot be calculated from thermodynamic parameters.
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