Critical behavior and stability problem in a scalar field model

As shown in the works [1-3], asymptotic behavior of propagator Euclidean region momenta for model a complex scalar field φ and real χ with interaction drastically changes depending on value coupling constant. For small values coupling, behaves asymptotically as free, while strong-coupling deep tends to be In this paper, influence vacuum stability problem critical is investigated. It that within framework approximations used, addition stabilizing term type Lagrangian leads renormalization mass does not change main effect changing ultraviolet propagator. PACS number: 11.10.Jj.