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- W4386184807 abstract "We reexamine the relativistic 2+1 dimensional Lee model in light-front coordinates on flat space and on a space-time with a spatial section given by a compact manifold in the usual canonical formalism. The simpler 2+1 dimension is chosen because renormalization is needed only for the mass difference but not required for the coupling constant and the wavefunction. The model is constructed non-perturbatively based on the resolvent formulation [1]. The bound state spectrum is studied through its ``principal operator and bounds for the ground state energy are obtained. We show that the formal expression found indeed defines the resolvent of a self-adjoint operator--the Hamiltonian of the interacting system. Moreover, we prove an essential result that the principal operator corresponds to a self-adjoint holomorphic family of type-A in the sense of Kato." @default.
- W4386184807 created "2023-08-26" @default.
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- W4386184807 date "2019-07-28" @default.
- W4386184807 modified "2023-09-23" @default.
- W4386184807 title "Relativistic Lee Model and its Resolvent Analysis" @default.
- W4386184807 doi "https://doi.org/10.48550/arxiv.1907.12102" @default.
- W4386184807 hasPublicationYear "2019" @default.
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