The spin excitation damping is examined for a singlet state of a 2D an
tiferromagnet on a square lattice using the rotationally invariant app
roach for two-time spin Green functions. It is shown that the lowest b
oundary of weakly damped spin waves has a scale k of the order (T/T-0)
(3/2). This leads to an inverse correlation L(-1) which is much larger
than L(0)(-1) similar to exp(T-0/T) given by the Dyson-Maleev formali
sm.