Minimal renormalization without ε-expansion
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The minimal subtraction scheme and the Borel resummation method are used to calculate the amplitudes of renormalized correlation functions belowTc for the three-dimensionalφ4 model with a oneccomponent 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 belowTc including the amplitude functions.
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