Investigation of nonanalyticity in the limit of chiral symmetry in the $SU_3$ sigmal model

A. A. Khelashvili, V. Yu. Khmaladze


Abstract: Non-analytic behaviour of propagators, vertex functions and pseudoscalar meson octet scattering amplitudes in the chiral and low energy limits is investigated in the framework of the one-loop approximation of the perturbation theory in the $SU_3$ sigma-model. It is shown that the leading non-analytic contributions in scattering amplitudes are cancelled.

Received: 30.07.1973

 English version: Theoretical and Mathematical Physics, 1975, 23:3, 617–621