  Critical dynamics in various glass models including those described by mode
coupling theory is described by scale-invariant dynamical equations with a
single non-universal quantity, i.e. the so-called parameter exponent that
determines all the dynamical critical exponents. We show that these equations
follow from the structure of the static replicated Gibbs free energy near the
critical point. In particular the exponent parameter is given by the ratio
between two cubic proper vertexes that can be expressed as six-point cumulants
measured in a purely static framework.
