  In this article, we perform a careful analysis of the renormalization
procedure used in existing calculations to derive critical exponents for the
KPZ-equation at 2-loop order. This analysis explains the discrepancies between
the results of the different groups. The correct critical exponents in
d=2+epsilon dimensions at the crossover between weak- and strong-coupling
regime are zeta=O(epsilon^3) and z=2+O(epsilon^3). No strong-coupling fixed
point exists at 2-loop order.

Condensed Matter