Zeitschrift für Physik B Condensed Matter

, Volume 89, Issue 1, pp 79–87 | Cite as

Minimal renormalization without ε-expansion

Amplitude functions in three dimensions belowTc
  • F. J. Halfkann
  • V. Dohm
Original Contributions

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-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 belowT c including the amplitude functions.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • F. J. Halfkann
    • 1
  • V. Dohm
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Hochschule AachenAachenFederal Republic of Germany

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