Multi Particle Semiclassical Process in \PHI^4 Theory

Abstract

We have shown an example of semiclassical transition in \phi^4 model with positive coupling constant. This process describes a semiclassical transition between two coherent states with much smaller average number of particles in the initial state than in the final state. This transition is technically analogous to the one-instanton transition in the electroweak model. It is suppressed by the factor exp(-2S), where S is Lipatov instanton action. It could be important to the problem of calculation of amplitudes for multiparticle production in \phi^4-type models.