Replica method and finite volume corrections

Abstract

In this note we introduce a method to calculate the finite volume corrections to the mean field results for the free energy when replica symmetry is broken at one-step. We find that the naive results are modified by the presence of additional corrections: these corrections can be interpreted as arising from fluctuations in the size of the blocks in the replica approach. The computation suggests a new approach for deriving the replica broken results in a rigorous way.

10 pages

References in corpus (1)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

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