Replica solution of the Random Energy Model

Abstract

The alternative replica technique which involve summation over all integer momenta of the partition function and which does not require analytic continuation to non-integer values of the replica parameter $n$ is discussed. In terms of this technique (which does not involve any replica symmetry breaking "magic operations") rigorous solution for the average free energy of the Random Energy Model is recovered in a very simple way.

8 pages

Cited by in corpus (7)

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• The Distributional Zeta-Function in Disordered Field Theory
• Finite size corrections in the random energy model and the replica approach
• Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
• Large deviations of the free energy in the p-spin glass spherical model
• Notes on the polynomial identities in random overlap structures
• The discrete random energy model and one step replica symmetry breaking