MINIMAL RENORMALIZATION WITHOUT EPSILON-EXPANSION - AMPLITUDE FUNCTIONS IN 3 DIMENSIONS BELOW TC

The minimal subtraction scheme and the Borel resummation method are used to calculate the amplitudes of renormalized correlation functions below T(c) for the three-dimensional phi-4 Model with a one- component order parameter. Accurate representations are given for the effective amplitudes of the renormalized expressions of the order parameter, of the susceptibility and of the specific heat. The resummed higher-order contributions to the order parameter and to the specific heat turn out to yield only small corrections to the low-order approximations. Our results provide the basis for accurate analyses of the critical behavior of Ising-type systems in three dimensions below T(c) including the amplitude functions.