Asymptotic fields for approximated renormalized two-dimensional Yukawa model

The renormalized Yukawa theory in the two-dimensional space-time is considered. The existence of asymptotical limits of the creation-annihilation operators is proved. It is also shown that the commutation relations of these asymptotical operators with the total Hamiltonian are of the same form as those of the usual creation-annihilation operators with the free Hamiltonian. This provides us with some information about the spectrum of the total Hamiltonian.