  We study the critical dynamics of a real scalar field in two dimensions near
a continuous phase transition. We have built up and solved Dynamical
Renormalization Group equations at one-loop approximation. We have found that,
different form the case $d\lesssim 4$, characterized by a Wilson-Fisher fixed
point with dynamical critical exponent $z=2+ O(\epsilon^2)$, the critical
dynamics is dominated by a novel multiplicative noise fixed point. The zeroes
of the beta function depend on the stochastic prescription used to define the
Wiener integrals. However, the critical exponents and the anomalous dimension
do not depend on the prescription used. Thus, even though each stochastic
prescription produces different dynamical evolutions, all of them are in the
same universality class.
