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
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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.
@article{TMF_1973_15_1_a5,
author = {A. A. Khelashvili and V. Yu. Khmaladze},
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},
pages = {78--90},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {1973},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a5/}
}
TY - JOUR
AU - A. A. Khelashvili
AU - V. Yu. Khmaladze
TI - Renormalization of the $SU_3\otimes SU_3$-$\sigma$-model for $0^{\pm}$-mesons with linear breaking
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1973
SP - 78
EP - 90
VL - 15
IS - 1
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a5/
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ID - TMF_1973_15_1_a5
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%A V. Yu. Khmaladze
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%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 78-90
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%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1973_15_1_a5/
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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/