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Pré-Publication, Document De Travail Année : 2022

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.
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Dates et versions

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

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Jonas Lampart. Hamiltonians for polaron models with subcritical ultraviolet singularities. 2022. ⟨hal-03618282v1⟩
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