Absence of ground states in the translation invariant massless Nelson model

DOI10.1007/S00023-020-00928-YzbMath1447.81159OpenAlexW3035808100MaRDI QIDQ2195865

Thomas Norman Dam

Publication date: 28 August 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-020-00928-y

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

Ground states and associated path measures in the renormalized Nelson model ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Infraparticle states in the massless Nelson model: revisited ⋮ On renormalized Hamiltonian nets ⋮ Absence of ground states in the renormalized massless translation-invariant Nelson model

Cites Work

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• Analyticity of the ground state energy for massless Nelson models
• Feynman-Kac-type theorems and Gibbs measures on path space. With applications to rigorous quantum field theory.
• Absence of ground states for a class of translation invariant models of non-relativistic QED
• One-particle (improper) states in Nelson's massless model
• Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
• Asymptotics in spin-boson type models
• Existence and uniqueness of physical ground states
• Measures, Integrals and Martingales

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