Self-adjointness of the Yukawa\(_{2}\) Hamiltonian

DOI10.1016/0003-4916(70)90495-1zbMath1229.81087OpenAlexW1986164665MaRDI QIDQ653200

Arthur Jaffe, James G. Glimm

Publication date: 7 January 2012

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

Full work available at URL: https://doi.org/10.1016/0003-4916(70)90495-1

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

A nonperturbative approach to nondegeneracy of ground states in quantum field theory: Polaron models ⋮ Friedrichs diagrams: bosonic and fermionic ⋮ Probabilistic aspects of quantum field theory ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ Bogolyubov's operator \(S(g)\) for some two-dimensional models of quantum field theory ⋮ Quantum field theoretic properties of a model of Nelson: domain and eigenvector stability for perturbed linear operators ⋮ Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model

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• The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
• Lorentz covariance of the \(\lambda (\varphi^ 4)_ 2\) quantum field theory
• Singular perturbations of selfadjoint operators
• A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I

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