Article ID Journal Published Year Pages File Type
1843846 Nuclear Physics B 2008 32 Pages PDF
Abstract
It is shown that the limit t−t′→∞ of the equilibrium dynamic self-energy can be computed from the n→1 limit of the static self-energy of an n-times replicated system with one step replica symmetry breaking structure. It is also shown that the Dyson equation of the replicated system leads in the n→1 limit to the bifurcation equation for the glass ergodicity breaking parameter computed from dynamics. The equivalence of the replica formalism to the long time limit of the equilibrium relaxation dynamics is proved to all orders in perturbation for a scalar theory.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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