Hamiltonians for polaron models with subcritical ultraviolet singularities - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales Henri Poincaré Année : 2023

Hamiltonians for polaron models with subcritical ultraviolet singularities

Résumé

We treat the ultraviolet problem for polaron-type models in nonrelativistic quantum field theory. Assuming that the dispersion relations of particles and the field have the same growth at infinity, we cover all subcritical (superrenormalisable) interactions. The Hamiltonian without cutoff is exhibited as an explicit self-adjoint operator obtained by a finite iteration procedure. The cutoff Hamiltonians converge to this operator in the strong resolvent sense after subtraction of a perturbative approximation for the ground-state energy.
Fichier principal
Vignette du fichier
Lampart - Subcritical Polaron_R.pdf (494.48 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Licence : Copyright (Tous droits réservés)

Dates et versions

hal-03618282 , version 1 (24-03-2022)
hal-03618282 , version 2 (11-10-2023)

Identifiants

Citer

Jonas Lampart. Hamiltonians for polaron models with subcritical ultraviolet singularities. Annales Henri Poincaré, 2023, 24, pp.2687-2728. ⟨10.1007/s00023-023-01285-2⟩. ⟨hal-03618282v2⟩
29 Consultations
21 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More