Abstract
We present a quantitative comparison between 4 − e expansion and Monte Carlo estimates of critical finite-size properties: Specifically we consider the Helmholtz free energy (where the overall order parameter rather than its conjugate field is kept fixed) at the bulk critical temperature for a cube with periodic boundary conditions within a 4 − e expansion to one-loop order. An estimate for the complete asymptotic scaling function obtained from renormalization flow equations as well as systematic e-expansion estimates for several amplitude ratios agree well with corresponding Monte Carlo results in three dimensions. The nonequivalence of thermodynamic ensembles for critical finite-size properties is discussed in some detail.
Published Version
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