2013/03/15 by Hirofumi Yamada, Yamada, Hirofumi
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.1303.3714
13 pages, 19 figures
arxiv created 2013/03/15 · arxiv updated 2013/03/18
In Ising model on the simple cubic lattice, we describe the inverse temperature βin terms of the bare-mass M and study its critical behavior by the use of delta expansion from high temperature or large M side. In the vicinity of critical temperature βc, the expansion of βin M has βc as the first term and M-1/2ν as the leading correction. The estimation of βc in 1/M expansion is confronted with the leading and higher order corrections, even delta expansion is applied and the critical region emerges. To improve the estimation status of βc, we try to suppress the corrections by adding derivatives of β(M) with free adjustable parameters. By optimizing the parameters with the help of the principle of minimum sensitivity which are maximally imposed in accord with the number of parameters, estimation of βc is carried out and the result is found to be in good agreement with the present world average. In the same time, the critical exponent ν is also estimated.