所属 埼玉医科大学 医学部 教養教育 職種 教授
|Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
|正式名：Journal of Physics A: Mathematical and Theoretical
|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.