No replica symmetry breaking phase in the random field Ginzburg-Landau model

DOI10.1063/1.5088860zbMath1426.82007arXiv1907.07329OpenAlexW3105726562WikidataQ127369985 ScholiaQ127369985MaRDI QIDQ5193195

Y. Utsunomiya, Chigak Itoi

Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1907.07329

zbMATH Keywords

Fortuin-Kasteleyn-Ginibre inequalityrandom field Ginzburg-Landau model

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Symmetry breaking in quantum theory (81R40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Other analytical inequalities (26D20)

Related Items (3)

Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field ⋮ On the ultrametricity property in random field Ising models ⋮ The Schwartz–Soffer and more inequalities for random fields

Cites Work

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• The Parisi formula
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• No spin glass phase in the ferromagnetic random-field random-temperature scalar Ginzburg–Landau model
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• Perspectives on Spin Glasses
• THE THERMODYNAMIC LIMIT FOR FINITE DIMENSIONAL CLASSICAL AND QUANTUM DISORDERED SYSTEMS
• Correlation inequalities for quantum spin systems with quenched centered disorder
• Mean Field Models for Spin Glasses

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