Abstract
The method of the two-time Green function has been applied to the investigation of the antiferromagnetic relaxation. To close the hierarchy of equations, a Callen type modification in the decoupling procedure is introduced. The spin wae spectrum and the spin polarization are obtained in the lowest order. In the second order the decay constant is calculated for the uniform mode of the transverse magnetization in the absence of an external field, and is shown to agree with the results obtained by the method of relaxation function at low temperatures.

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