Contribution of quark loops to the effective action in a model with four-quark interaction

We treat a nonlinear model which includes a four-quark interaction and which accounts for the effect of spontaneous chiral symmetry breaking in the pseudoscalar particle sector. We obtain the Wess-Zumino-Witten action as a contribution to an effective chiral action from the quark loops with five meson ends. The coupling constant between the quarks and the pseudoscalar mesons is related by the Goldberger-Treiman relation to the mass of the constituent quarks and the meson decay constant. Accounting for the vector-meson sector and the corresponding contributions of the quark loops to the effective chiral action (ECA) leads to new Wess-Zumino terms in the ECA.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 19–22, June, 1990.In conclusion, we express deep gratitude to V. Ya. Fainberg for his interest in this work and discussion of some problems touched upon in this paper.