Lee model and its resolvent analysis

DOI10.1142/s021988782350055xarXiv1907.12102OpenAlexW4311735215MaRDI QIDQ6188787

Meltem Ünel, O. Teoman Turgut, Unnamed Author

Publication date: 11 January 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12102

zbMATH Keywords

light-front quantizationexact renormalizationholomorphic family of operatorsfields in background metricheat kernel methodsoperator methods in quantum fieldsself-adjoint operators in quantum theoryWigner-Weiskopf model

Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Cites Work

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• Global heat kernel estimates
• Holomorphic operator families and stability of selfadjointness
• Existence of Hamiltonians for some singular interactions on manifolds
• Model of Coupling-Constant Renormalization
• Nondegeneracy of the ground state for nonrelativistic Lee model
• Dispersion relations in the Lee Model
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi><mml:mo>−</mml:mo><mml:mi>θ</mml:mi></mml:math>Collisions in the Lee Model
• On the representation of holomorphic functions by integrals
• REMARKS ON THE GROUND STATE ENERGY OF THE SPIN-BOSON MODEL: AN APPLICATION OF THE WIGNER–WEISSKOPF MODEL
• STABILITY OF GROUND STATES IN SECTORS AND ITS APPLICATION TO THE WIGNER–WEISSKOPF MODEL
• The relativistic Lee model on Riemannian manifolds
• Solution of the Integral Equation for Vθ Scattering in the Lee Model
• Solution of the Källén-Pauli Equation
• Some Special Examples in Renormalizable Field Theory
• Spectral properties of the singular Friedrichs–Lee Hamiltonian

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