ムカイダ　ヒサミツ   MUKAIDA Hisamitsu   向田　寿光    所属   埼玉医科大学  医学部 教養教育    職種   教授
論文種別	学術雑誌(原著)
言語種別	英語
査読の有無	査読あり
表題	Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
掲載誌名	正式名：Journal of Physics A: Mathematical and Theoretical
出版社	IOP Publishing
巻・号・頁	49(4),0450002頁
発行年月	2015/12
概要	The effective potential for the two-replica system of the random energy model is exactly derived. It is an analytic function of the magnetizations of two replicas, φ1 and φ2 in the high-temperature phase. In the low-temperature phase, where the replica symmetry breaking takes place, the effective potential becomes non-analytic when φ1=φ2. The non-analyticity is considered as a consequence of the condensation of the Boltzmann measure, which is a typical property of a glass phase.
arXiv ID	1510.02613v2