Abstract
Abstract The dynamics of longitudinal spin fluctuations in the S = 1/2 Ising model in a transverse field is studied. Exploiting the mode-coupling approximation for the relaxation function we show that the width of the central peak which appears just above Tc is determined by the nonlinear coupling of fluctuations to the hydrodynamic energy-density mode. The results for the central peak are compared to those obtained within the usual three-pole approximation.
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