Lee Model with TwoVParticles

Abstract

For a relativistic field theory including two particles ${V}_{i}$ with the same quantum numbers described by Heisenberg fields ${\ensuremath{\psi}}_{i}(x)$, the values of the matrix elements ($0|{\ensuremath{\psi}}_{i}(x)|{\mathrm{V}}_{j}$) 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.