On a direct description of pseudorelativistic Nelson Hamiltonians

DOI10.1063/1.5109640zbMath1466.81054arXiv1810.03313OpenAlexW3104184559WikidataQ114103953 ScholiaQ114103953MaRDI QIDQ5205169

Julian Schmidt

Publication date: 10 December 2019

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

Full work available at URL: https://arxiv.org/abs/1810.03313

zbMATH Keywords

ultraviolet divergenciesinterior-boundary conditionsrelativistic Nelson Hamiltonians

Mathematics Subject Classification ID

Model quantum field theories (81T10) Continuum limits in quantum field theory (81T27) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Applications of functional analysis in quantum physics (46N50)

Related Items

Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Interior-boundary conditions for Schrödinger operators on codimension-1 boundaries ⋮ The resolvent of the Nelson Hamiltonian improves positivity ⋮ Hamiltonians for polaron models with subcritical ultraviolet singularities ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Bohmian trajectories for Hamiltonians with interior-boundary conditions ⋮ On the self-adjointness of \(H+A^*+A\) ⋮ The renormalized Bogoliubov–Fröhlich Hamiltonian ⋮ A nonrelativistic quantum field theory with point interactions in three dimensions

Cites Work

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