Critical exponents from large mass expansion

TL;DR

This paper estimates critical exponents for the 3D Ising model using large mass and delta-expansion techniques, providing precise values for omega, nu, eta, and gamma.

Contribution

It introduces a self-contained method to estimate critical exponents from high-order expansions, including unbiased and biased approaches.

Findings

Estimated omega=0.8002, nu=0.6295, eta=0.0369, gamma=1.2357 at 25th order

Biased estimation omega=0.84(4) aligns with recent literature

Method demonstrates high-precision exponent estimation from series expansion

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.