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Critical exponents from large mass expansion

High Energy Physics - Lattice 2014-10-16 v2 Statistical Mechanics High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1408.4584,
  title  = {Critical exponents from large mass expansion},
  author = {Hirofumi Yamada},
  journal= {arXiv preprint arXiv:1408.4584},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-22T05:34:28.782Z