Scattering theory of infrared divergent Pauli-Fierz Hamiltonians

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Publication:1889867

DOI10.1007/s00023-004-0177-5zbMath1060.81060OpenAlexW2071341540MaRDI QIDQ1889867

Jan Dereziński, Christian Gérard

Publication date: 13 December 2004

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

Full work available at URL: https://doi.org/10.1007/s00023-004-0177-5




Related Items (26)

Pauli-Fierz Hamiltonians defined as quadratic formsGround states and associated path measures in the renormalized Nelson modelExistence and nonexistence of a ground state for the massless Nelson model under binding conditionGround states of quantum electrodynamics with cutoffsSpectral analysis of a model for quantum frictionCoulomb scattering in the massless Nelson model IV. Atom–electron scatteringScattering theory for mathematical models of the weak interactionAbsence of ground states in the translation invariant massless Nelson modelInfraparticle states in the massless Nelson model: revisitedInfraparticles with superselected direction of motion in two-dimensional conformal field theoryQuasi-classical ground states. I: Linearly coupled Pauli-Fierz HamiltoniansA probabilistic representation of the ground state expectation of fractional powers of the boson number operatorTowards a construction of inclusive collision cross-sections in the massless Nelson modelInfrared problem for the Nelson model on static space-timesAbsence of ground state for the Nelson model on static space-timesEnhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I.Absence of ground states for a class of translation invariant models of non-relativistic QEDAsymptotic completeness for the massless spin-boson modelCoulomb scattering in the massless Nelson model II. Regularity of ground statesThe infrared problem for the dressed non-relativistic electron in a magnetic fieldRelative normalizers of automorphism groups, infravacua and the problem of velocity superselection in QEDCoulomb scattering in the massless Nelson model. I. Foundations of two-electron scatteringInfrared catastrophe for Nelson's model -- non-existence of ground state and soft-boson divergenceUnnamed ItemExistence of a ground state for the Nelson model with a singular perturbationAbsence of ground states in the renormalized massless translation-invariant Nelson model







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