Dynamical structure factors and clusterization in a class of relativistic field theories

The dynamic structure factors which are related to the biontype excitations are investigatid in the framework of the Klein-Gordon equation. It is shown that at low temperatures the contribution to the bion-type excitations dominates the contribution to the central peak and also gives rise to the satellites centered at harmonics of the main bion frequency (combinational scattering). Both the mean frequency of bions and their average density are defined by the temperature of a system. A possibility is discussed to generalize the results to (2, 1)- and (3, 1)-dimensional models