Lee Model with TwoVParticles

Abstract

For a relativistic field theory including two particles $V_i$ with the same quantum numbers described by Heisenberg fields ${\psi }_i\mathrm{}\left(x\right)\mathrm{}$, the values of the matrix elements ($0\left|{\psi }_i\mathrm{}\right(x\left)\right|{\mathrm{V}}_j$) are obtained by the use of the asymptotic conditions. For a Lee model including two $V$ particles these matrix-elements are used to obtain expressions for the renormalization constants. The consistency between the dispersion theoretic and Hamiltonian methods for this model is verified by discussions of several particular situations.