The dynamics of the n-component Ginzburg-Landau model with non-conserved order parameter (model A) are considered following a quench to zero temperature. The correlation function of the order parameter field is found, in the 1/n expansion, to have the asymptotic scaling form C(t,t')=t' 2/(t/t')2/f(kt,kt') for t>>t', with f(0,0)=constant. The new exponent lambda is calculated to O(1/n) for general space dimension d, and has a non-trivial dependence on n and d.
Newman, T. J., & Bray, A. J. (1990). New exponent for dynamic correlations in domain growth. Journal of Physics A: Mathematical and General, 23(6), L279-L284. https://doi.org/10.1088/0305-4470/23/6/008