Spontaneous generation of effective interaction in a renormalizable quantum field theory model

摘要

We consider the of a massless scaler field with the gphi(3) coupling theory coupling in a six-dimensional space. We use Bogoliubov's method of quasiaverages to study the possibility of a breaking of the original scaling scaling symmetry and of the corresponding spontaneous generation or the effective Gphi(4) Coupling. We show that the linearized compensation equation for the form factor of this coupling has a nontrivial solution through the third-order approximation. In the same approximation, the Bethe-Salpeter equation for a massless scalar bound state of two fields phi also has a solution. Matching the values of the form factor and the scalar field mass m at zero leads to a unique solution that gives a relation between the parameters of the gphi(3) coupling and the parameters G and m. We argue in favor of the stability of the stability of the nontrivial solation obtained.