1992/10/08 by Ralph Kenna, R. Kenna, C. B. Lang · 6 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.1016/0550-3213(93)90068-z
published as Nucl.Phys. B393 (1993) 461-479; Erratum-ibid. B411 (1994) 340 · 25 p + 3 PS-figures, UNIGRAZ-UTP-07-10-92 (Revision 08-10-92: only PS-figures, which originally had too long lines exceeding 80 characters)
arxiv created 1992/10/08 · openalex publication_date 1993/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A finite-size scaling theory for the ϕ44 model is derived using renormalization group methods. Particular attention is paid to the partition function zeroes, in terms of which all thermodynamic observables can be expressed. While the leading scaling behaviour is identical to that of mean field theory, there exist multiplicative logarithmic corrections too. A non-perturbative test of these formulae in the form of a high precision Monte Carlo analysis reveals good quantitative agreement with the analytical predictions.