The Replica Trick in the Frame of Replica Interpolation

DOI10.1007/978-3-030-29077-1_7zbMath1446.82039OpenAlexW2972818264MaRDI QIDQ3296412

Francesco Guerra

Publication date: 7 July 2020

Published in: Statistical Mechanics of Classical and Disordered Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-29077-1_7

zbMATH Keywords

interpolationvariational principlesorder parametersdisordered systemsSherrington-Kirkpatrick modelreplica symmetryreplica symmetry breakingreplica trickAlmeida-Thouless lineDerrida modelminimal symmetry breaking

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Symmetry breaking in quantum theory (81R40)

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The emergence of the order parameter in the interpolating replica trick for disordered statistical mechanics systems

Cites Work

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