Localization at low temperature and infrared bounds

DOI10.1063/1.2364180zbMath1112.82010OpenAlexW2071549867MaRDI QIDQ3442131

Volker Bach, Jacob Schach Møller

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2364180

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Gibbs measures and phase transitions
• Correlation inequalities on some partially ordered sets
• Around a stationary phase theorem in large dimension
• Correlation at low temperature. I: Exponential decay
• Low-temperature localisation for continuous spin-systems
• Splitting in large dimension and infrared estimates. II. Moment inequalities