Ultraviolet properties of the spinless, one-particle Yukawa model

DOI10.1007/s00220-013-1877-9zbMath1302.81167arXiv1208.2646OpenAlexW2108826544MaRDI QIDQ2450866

Alessandro Pizzo, Dirk-André Deckert

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1208.2646

zbMATH Keywords

perturbation theorydispersion relationsultraviolet divergenceYukawa modelvon Neumann expansionscalar massive field

Mathematics Subject Classification ID

Nuclear physics (81V35) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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Polaron models with regular interactions at strong coupling ⋮ Essential spectrum of a fermionic quantum field model ⋮ Hamiltonians for polaron models with subcritical ultraviolet singularities ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Divergence of the effective mass of a polaron in the strong coupling limit ⋮ The mass shell in the semi-relativistic Pauli-Fierz model ⋮ On the domain of the Nelson Hamiltonian ⋮ Asymptotics in spin-boson type models ⋮ On a direct description of pseudorelativistic Nelson Hamiltonians

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