SELF-CONSISTENT SCREENING APPROXIMATION FOR CRITICAL-DYNAMICS

We generalize Pray's self-consistent screening approximation to descri be the critical dynamics of the phi(4) theory. In order to obtain the dynamical exponent z, we have to make an ansatz for the form of the sc aling functions, which fortunately can be restricted by general argume nts. Numerical values of z for d = 3, and n = 1,..., 10 are obtained u sing two different ansatz, and differ by a very small amount. In parti cular, the value of z similar or equal to 2.115 obtained for the three -dimensional Ising model agrees well with recent Monte Carlo simulatio ns.