ヤマダ　ヒロフミ   Hirofumi Yamada   山田　宏文    所属   千葉工業大学  情報変革科学部 教育センター（情報変革科学部）    職種   教授
言語種別	英語
発行・発表の年月	2015/01
形態種別	大学・研究所等紀要
標題	Delta expansion at low temperatures
執筆形態	単著
掲載誌名	Report of Chiba Institute of Technology
巻・号・頁	62,pp.69-74
概要	In the low temperature phase of the square Ising model, we describe the inverse temperature beta as the function of a squared mass M and study the critical behavior of beta(M) via the large M expansion. Using the delta-expansion by which the large mass expansion is transformed into a series exhibiting expected scaling behavior, we perform the estimation of the critical inverse temperature beta_{c} with the help of linear differential equation to be satisfied by ansatz of beta(M) near the critical point M=0. To improve the estimation, the leading correction exponent nu is independently estimated from beta^{(2)}/beta^{(1)} and is used in the estimation of beta_{c}, giving rise to remarkable accuracy improvement.