On the semigroup generated by the renormalized Nelson Hamiltonian

DOI10.1016/j.jfa.2018.11.001OpenAlexW2963333360MaRDI QIDQ1715472

Tadahiro Miyao

Publication date: 4 February 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08659

zbMATH Keywords

operator inequalitiesNelson modelenergy renormalizationpositivity improving semigroups

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Linear operator inequalities (47A63) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (7)

Ground states and associated path measures in the renormalized Nelson model ⋮ The resolvent of the Nelson Hamiltonian improves positivity ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory ⋮ On renormalized Hamiltonian nets ⋮ On Nelson-type Hamiltonians and abstract boundary conditions ⋮ Stability of ferromagnetism in many-electron systems ⋮ Absence of ground states in the renormalized massless translation-invariant Nelson model

Cites Work

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• Quantum Griffiths inequalities
• Monotonicity of the polaron energy. II: General theory of operator monotonicity
• Ultraviolet renormalization of the Nelson Hamiltonian through functional integration
• 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
• Analyticity of the ground state energy for massless Nelson models
• Lowest energy states in nonrelativistic QED: atoms and ions in motion
• The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold
• Direct integrals of selfdual cones and standard forms of von Neumann algebras
• A nonperturbative approach to nondegeneracy of ground states in quantum field theory: Polaron models
• One-particle (improper) states in Nelson's massless model
• Asymptotic completeness for a renormalized nonrelativistic Hamiltonian in quantum field theory: The Nelson model
• On Nelson-type Hamiltonians and abstract boundary conditions
• On renormalized Hamiltonian nets
• Monotonicity of the polaron energy
• Correlation inequalities for Schrödinger operators
• The bipolaron in the strong coupling limit
• Existence and uniqueness of physical ground states
• Particle-like solutions in field theory
• Dynamics of Charged Particles and their Radiation Field
• Ground state of the massless Nelson model in a non-Fock representation
• GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION
• Feynman-Kac formulas for the ultra-violet renormalized Nelson model
• On the domain of the Nelson Hamiltonian
• Analytic Domination With Quadratic Form Type Estimates and Nondegeneracy of Ground States in Quantum Field Theory
• THE POLARON REVISITED
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems

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