  We consider the defocusing nonlinear wave equations (NLW) on the
two-dimensional torus. In particular, we construct invariant Gibbs measures for
the renormalized so-called Wick ordered NLW. We then prove weak universality of
the Wick ordered NLW, showing that the Wick ordered NLW naturally appears as a
suitable scaling limit of non-renormalized NLW with Gaussian random initial
data.
