Domain structure of a Reggeon field theory with three couplings

The high-energy behavior of a Reggeon field theory with a three-Reggeon coupling and two four-Reggeon couplings is considered. Using the renormalization- group equations which are calculated in lowest order by Bardeen et al. for this model, a study is made of the way the couplings evolve to the fixed points in the high-energy limit. It is found that there are three fixed points (plus a fourth at infinity) to which the couplings can evolve. The space of couplings divides into four domains, two of which are two-dimensional and two of which are three- dimensional. The couplings in one of the three-dimensional domains are found to evolve to infinity and the couplings in the other three domains are found to evolve to the fixed-point couplings. The boundaries of these domains and some characteristic evolution curves are shown. The implications of the domain structure of the model are discussed. (AIP)