Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model

DOI10.1088/1751-8113/49/4/045002zbMath1352.82026arXiv1510.02613OpenAlexW2216734689MaRDI QIDQ2994588

Hisamitsu Mukaida

Publication date: 2 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02613

zbMATH Keywords

random energy model (REM)effective potentiasl replica trickquenched disordered systemreplica symmetry breaking (RSB)

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) Processes in random environments (60K37)

Related Items (4)

Universal nature of replica symmetry breaking in quantum systems with Gaussian disorder ⋮ Griffiths-type theorems for short-range spin glass models ⋮ Zero-variance of perturbation Hamiltonian density in perturbed spin systems ⋮ Self-averaging of perturbation Hamiltonian density in perturbed spin systems

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