Replica Condensation and Tree Decay

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dc.creatorJaffe, Arthur
dc.creatorMoser, David
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:10:58Z
dc.date.available2026-07-07T08:10:58Z
dc.descriptionWe give an intuitive method--using local, cyclic replica symmetry--to isolate exponential tree decay in truncated (connected) correlations. We give an expansion and use the symmetry to show that all terms vanish, except those displaying {\em replica condensation}. The condensation property ensures exponential tree decay. We illustrate our method in a low-temperature Ising system, but expect that one can use a similar method in other random field and quantum field problems. While considering the illustration, we prove an elementary upper bound on the entropy of random lattice surfaces.
dc.identifierhttps://arxiv.org/abs/0706.2147
dc.identifierhttp://arxiv.org/abs/0706.2147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131977
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleReplica Condensation and Tree Decay
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