Ground state of the massless Nelson model in a non-Fock representation

DOI10.1063/1.2050507zbMath1111.81117OpenAlexW1970985334MaRDI QIDQ3438612

Itaru Sasaki

Publication date: 16 May 2007

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

Full work available at URL: https://semanticscholar.org/paper/dfa2d85e2128479d160ee93154e1d9c8b8dcb731

Mathematics Subject Classification ID

Model quantum field theories (81T10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

Ground states and associated path measures in the renormalized Nelson model ⋮ Existence and nonexistence of a ground state for the massless Nelson model under binding condition ⋮ A probabilistic representation of the ground state expectation of fractional powers of the boson number operator ⋮ On the semigroup generated by the renormalized Nelson Hamiltonian ⋮ Ultraviolet renormalization of the Nelson Hamiltonian through functional integration ⋮ Absence of ground state for the Nelson model on static space-times ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I. ⋮ On renormalized Hamiltonian nets ⋮ Analyticity of the ground state energy for massless Nelson models ⋮ Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory ⋮ Existence of a ground state for the Nelson model with a singular perturbation

Cites Work

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• The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field.
• Ground state for point particles interacting through a massless scalar Bose field
• Ground state of a quantum particle coupled to a scalar Bose field
• On the existence of ground states for massless Pauli-Fierz Hamiltonians
• GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION
• Ground states in non-relativistic quantum electrodynamics.

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