A. A. Khelashvili, V. Yu. Khmaladze, “Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking”, TMF, 1973, Volume 15, Number 1,Pages 78

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Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking

A. A. Khelashvili, V. Yu. Khmaladze

Abstract: Ward identities are deduced for divergent Green's functions in the framework of the $SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking. The model is renormalized. A diagrammatic technique is obtained for the renormalized perturbation series and the propagators and vertices are constructed in the one-loop approximation. Equations are also obtained for the tadpole contributions and the stability conditions are analyzed. The validity of the Goldstone theorem in the one-loop approximation is verified.

Received: 13.03.1972