Critical exponents from large mass expansion

2014/08/20 by Hirofumi Yamada, Yamada, Hirofumi · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Markov Chains and Monte Carlo Methods #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.1408.4584

9 pages, 3 figures, revised version (delta expansion is explained, serious typos are corrected, and many other revisions)

openalex publication_date 2014/08/20 · arxiv created 2014/10/15 · arxiv updated 2014/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform estimation of critical exponents via large mass expansion under crucial help of delta-expansion. We address to the three dimensional Ising model at high temperature and estimate omega, the correction-to-scaling exponent, nu, eta and gamma in unbiased and self-contained manner. The results read at the highest 25th order expansion omega=0.8002, nu=0.6295, eta=0.0369 and gamma=1.2357. Estimation biased by omega=0.84(4) is also performed and proved to be in agreement with the summary of recent literatures.

Cited by

• Estimates of critical quantities from an expansion in mass: Ising model on the simple cubic lattice

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