Infrared regular representation of the three-dimensional massless Nelson model

DOI10.1023/A:1015528401907zbMath0996.82003arXivmath-ph/0107004OpenAlexW3160038896MaRDI QIDQ1609422

Herbert Spohn, József Lörinczi, Robert Adol'fovich Minlos

Publication date: 15 August 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0107004

zbMATH Keywords

ground stateinfrared regular representationNelson's scalar field

Mathematics Subject Classification ID

Model quantum field theories (81T10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (7)

Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Ground states and associated path measures in the renormalized Nelson model ⋮ LOCALIZATION OF THE NUMBER OF PHOTONS OF GROUND STATES IN NONRELATIVISTIC QED ⋮ Functional central limit theorems and \(P(\phi )_1\)-processes for the relativistic and non-relativistic Nelson models ⋮ Functional integral representations of the Pauli-Fierz model with spin 1/2 ⋮ Effective dynamics for particles coupled to a quantized scalar field ⋮ Gibbs measures on Brownian currents

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