Abstract
The influence of the kinematical interaction on the antiferromagnetic magnon renormalisation for perturbation theory up to first order is studied using the Dyson-Maleev boson formulation. With this aim the previous method used in the context of the boson spin wave theory is analysed and an alternative approach developed. Furthermore, numerical evaluations of the effects of the kinematical interaction prove the importance of such corrections upon the dynamics of high-frequency spin waves in 2D systems, but they are irrelevant for 3D ones.
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