Dynamical symmetry breaking in models with the Yukawa interaction

Chiral condensate beyond the one-loop approximation

“…Besides, we showed, that the excited scalar states begin decay with the growth of the effective energy of system at the coupling constants don't obey critical relation. Here we recall that the phase transition appears if λ/4Ng is O(1) [6]. This phenomenon is a result of the multiloop contributions.…”

“…As it was shown in [6], in this model the chiral condensate is connected with v.e.v. of scalar field.…”

“…In our previous papers [6] we investigated system of self-interaction massive scalar and massless fermion field with the Yukawa interaction in (1 + 1)-dimensional spacetime. In the limit of a large mass of the scalar field the model becomes equivalent to the GN model.…”

Phase transitions in models with discrete symmetry

“…In our previous paper [6] we investigated a system of a self-interacting massive scalar and a massless fermion field with the Yukawa interaction in a (1 + 1)-dimensional spacetime. In the limit of a large mass of the scalar field the model becomes equivalent to the GN model.…”

“…In this paper we extend the calculation of the chiral condensate in this model performed in ref. [6] to include the quantum fluctuations of the scalar field. We formally define the chiral condensate using the functional integral…”