The mass shell of the Nelson model without cut-offs

DOI10.1016/j.jfa.2012.04.021zbMath1252.81094arXiv1104.3271OpenAlexW2963300900MaRDI QIDQ447902

J. Herrera, D. Rodríguez-Gómez

Publication date: 30 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3271

zbMATH Keywords

renormalizationinfrared catastrophemultiscale perturbation theoryNelson modelultraviolet divergence

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items (10)

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 ⋮ The mass shell in the semi-relativistic Pauli-Fierz model ⋮ Ultraviolet properties of the spinless, one-particle Yukawa model ⋮ Coulomb scattering in the massless Nelson model II. Regularity of ground states ⋮ On the domain of the Nelson Hamiltonian ⋮ On a direct description of pseudorelativistic Nelson Hamiltonians ⋮ Differential equations of quantum mechanics ⋮ Absence of ground states in the renormalized massless translation-invariant Nelson model

Cites Work

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• Ground state for point particles interacting through a massless scalar Bose field
• Analyticity of the ground state energy for massless Nelson models
• The renormalized electron mass in non-relativistic quantum electrodynamics
• Infrared renormalization in non-relativistic QED and scaling criticality
• One-particle (improper) states in Nelson's massless model
• Perturbation theory for linear operators.
• Quantum field theoretic properties of a model of Nelson: domain and eigenvector stability for perturbed linear operators
• Existence and uniqueness of physical ground states
• Particle-like solutions in field theory
• Infraparticle scattering states in nonrelativistic quantum electrodynamics. II. Mass shell properties

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