Ground state for point particles interacting through a massless scalar Bose field
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Publication:702704
DOI10.1016/j.aim.2004.03.011zbMath1093.81046arXivmath-ph/0211050OpenAlexW2011362310MaRDI QIDQ702704
Herbert Spohn, Masao Hirokawa, Fumio Hiroshima
Publication date: 17 January 2005
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0211050
Energy scale renormalizationGross' canonical transformationNelson's ModelRemoval of infrared cutoffRemoval of ultraviolet cutoff
Related Items (21)
PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ Ground states and associated path measures in the renormalized Nelson model ⋮ Gibbs states of interacting systems of quantum anharmonic oscillators ⋮ Functional central limit theorems and \(P(\phi )_1\)-processes for the relativistic and non-relativistic Nelson models ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ The mass shell of the Nelson model without cut-offs ⋮ 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 ⋮ On the domain of the Nelson Hamiltonian ⋮ Multiplicity of ground states in quantum field models: applications of asymptotic fields ⋮ Monotonicity of the polaron energy ⋮ Binding energy for hydrogen-like atoms in the Nelson model without cutoffs ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Spectrum of the semi-relativistic Pauli-Fierz model. II ⋮ Ground state of the massless Nelson model in a non-Fock representation ⋮ The no-binding regime of the Pauli-Fierz model
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