1997/10/02 by J. J. Godina, Yannick Meurice, Y. Meurice +1
Physics and Astronomy · #Model Reduction and Neural Networks #Scientific Research and Discoveries #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(98)00173-4
published as Nucl.Phys. B519 (1998) 737-755 · Uses Revtex, 27 pages including 13 figures
arxiv created 1997/10/02 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the high-temperature expansion of the 2-point function up to order 800 in beta. We show that estimations of the critical exponent gamma based on asymptotic analysis are not very accurate in presence of confluent logarithmic singularities. Using a direct comparison between the actual series and the series obtained from a parametrization of the form (betac -beta)^(-gamma) (Ln(betac -beta))p +r), we show that the errors are minimized for gamma =0.9997 and p=0.3351, in very good agreement with field-theoretical calculations. We briefly discuss the related questions of triviality and hyperscaling