Abstract
The minimal subtraction scheme and the Borel resummation method are used to calculate the amplitudes of renormalized correlation functions belowT c for the three-dimensionalφ 4 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 belowT c including the amplitude functions.
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Halfkann, F.J., Dohm, V. Minimal renormalization without ε-expansion. Z. Physik B - Condensed Matter 89, 79–87 (1992). https://doi.org/10.1007/BF01320832
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DOI: https://doi.org/10.1007/BF01320832