Geodesic
Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 1, pp. 78-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Khelashvili; V. Yu. Khmaladze. Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 1, pp. 78-90. http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a5/

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