The resolvent of the Nelson Hamiltonian improves positivity

DOI10.1007/s11040-021-09374-6zbMath1459.81074arXiv2010.03235OpenAlexW3127277937MaRDI QIDQ2657265

Jonas Lampart

Publication date: 12 March 2021

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03235

zbMATH Keywords

Nelson modelenergy renormalizationpositivity improving operators

Mathematics Subject Classification ID

Model quantum field theories (81T10) Spectrum, resolvent (47A10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50) Bergman spaces and Fock spaces (30H20) Bosonic systems in quantum theory (81V73)

Related Items (4)

Ground states and associated path measures in the renormalized Nelson model ⋮ On the global minimum of the energy-momentum relation for the polaron ⋮ On renormalized Hamiltonian nets ⋮ Absence of ground states in the renormalized massless translation-invariant Nelson model

Cites Work

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• Invariant Cones and Uniqueness of the Ground State for Fermion Systems

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