Replica solution of the random energy model
LPTMC, Université Paris VI - 75252 Paris, France, EU
2 L.D. Landau Institute for Theoretical Physics - 119334 Moscow, Russia
Accepted: 19 July 2011
The alternative replica technique which involves 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”), a well-known solution for the average free energy of the random energy model is recovered in a very simple way.
PACS: 05.20.-y – Classical statistical mechanics / 75.10.Nr – Spin-glass and other random models
© EPLA, 2011