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[en] 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, and in the high-temperature phase. In the low-temperature phase, where the replica symmetry breaking takes place, the effective potential becomes non-analytic when . The non-analyticity is considered as a consequence of the condensation of the Boltzmann measure, which is a typical property of a glass phase. (paper)
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121; 
; v. 49(4); [15 p.]
; v. 49(4); [15 p.]