Lehmann-Symanzik-Zimmermann Formalism in the Lee Model (V−θSector)

The Lehmann-Symanzik-Zimmermann formalism is used to solve the $V-\theta$ sector of the Lee model. The solution to one singular integral equation solves the entire sector, giving the two elastic-scattering amplitudes and the production amplitude. The behavior of the various amplitudes and phase shifts is discussed as a function of energy and coupling constant. Also, the bound-state problem is discussed. This approach is compared with the eigenvalue and dispersion treatments of this sector found in the literature.