Geodesic
Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 63-75

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Effective Lagrangian for massive pseudoscalar mesons is derived from the generating functional of quantum chromodynamics by means of chiral bosonization method. It is shown that the low-energy domain in the integral over quark fields is determined by quark and gluon condensates. The chiral anomaly and anomalous action in the presence of external vector, pseudo vector, scalar and pseudoscalar fields are obtained for the case of the asymmetrical quark spectrum. 
@article{TMF_1987_70_1_a4,
     author = {A. A. Andrianov and V. A. Andrianov and V. Yu. Novozhilov and Yu. V. Novozhilov},
     title = {Asymmetry of the quark spectrum and effective {Lagrangian} for massive pseudoscalar mesons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {63--75},
     publisher = {mathdoc},
     volume = {70},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a4/}
}
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A. A. Andrianov; V. A. Andrianov; V. Yu. Novozhilov; Yu. V. Novozhilov. Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 63-75. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a4/