Abstract
Renormalization group calculations ind = 4 andd = 4 −ɛ are performed for a system of finite size. A form of mean-field theory is used which yields a rounded transition for a finite system, and this allows a sensible expansion in fluctuations. A combination of Ewald and Poisson sum techniques is used to produce explicit numerical results for the specific heat ind = 4 which, with the setting of two nonuniversal metrical factors and the fourth-order coupling constant may be compared with simulations. The numerical visibility of logarithmic corrections is investigated. The universal scaling function for the specific heat to relativeO(ɛ) is also evaluated numerically.
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Rudnick, J., Guo, H. & Jasnow, D. Finite-size scaling and the renormalization group. J Stat Phys 41, 353–373 (1985). https://doi.org/10.1007/BF01009013
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DOI: https://doi.org/10.1007/BF01009013