Geodesic
Renormalizations in nonlinear chiral theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 46-55 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A program of renormalizations is realized for nonlinear chiral theory using the superpropagator method of calculation. A number of relations for the renormalization constants (Ward identities) is found from the requirement of chiral invariance. Calculations are made of the strong $\pi N$ coupling constant and the axial constant of $\beta$ decay in the single-loop approximation, as well as the two-loop corrections to the pion self-energy. The calculations show that despite the strong $\pi N$ coupling the contributions from the higher orders are relatively small ($\sim 20-30\%$). 
@article{TMF_1976_28_1_a3,
     author = {M. K. Volkov and D. I. Kazakov and V. N. Pervushin},
     title = {Renormalizations in nonlinear chiral theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--55},
     year = {1976},
     volume = {28},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a3/}
}
TY  - JOUR
AU  - M. K. Volkov
AU  - D. I. Kazakov
AU  - V. N. Pervushin
TI  - Renormalizations in nonlinear chiral theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 46
EP  - 55
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a3/
LA  - ru
ID  - TMF_1976_28_1_a3
ER  - 
%0 Journal Article
%A M. K. Volkov
%A D. I. Kazakov
%A V. N. Pervushin
%T Renormalizations in nonlinear chiral theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 46-55
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a3/
%G ru
%F TMF_1976_28_1_a3
M. K. Volkov; D. I. Kazakov; V. N. Pervushin. Renormalizations in nonlinear chiral theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 46-55. http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a3/

[1] H. Lehmann, H. Trute, Nucl. Phys., B52 (1973), 280 ; H. Lehmann, Phys. Lett., 41B (1972), 529 | DOI | DOI

[2] G. Ecker, J. Honerkamp, Nucl. Phys., B52 (1973), 211 | DOI

[3] M. K. Volkov, V. N. Pervushin, YaF, 20 (1974), 762; 19 (1974), 652; 21 (1975), 214; Phys. Lett., 51B (1974), 356 ; 51B (1974), 399; 55B (1975), 405 ; Preprint JINR P2-8165, 1974; Preprint JINR P2-8655; Preprint JINR P2-8659, 1975; Nuovo Cim., 27A (1975), 277 | DOI | DOI

[4] K. S. Jhung, R. S. Willey, Phys. Rev., D9 (1974), 3132

[5] F. Gursey, Nuovo Cim., 16 (1960), 230 ; Phys. Rev., 164 (1967), 1752 | DOI | MR | Zbl | DOI

[6] M. L. Goldberger, S. B. Treiman, Phys. Rev., 109 (1958), 193 | DOI | MR

[7] R. Dashen, M. Weinstein, Phys. Rev., 183 (1969), 1261 | DOI | MR

[8] M. K. Volkov, Commun. Math. Phys., 7 (1968), 289 | DOI | MR | Zbl

[9] A. Salam, J. Strathdee, Phys. Rev., D1 (1970), 3296 ; D3 (1971), 1805 | MR | MR

[10] V. N. Pervushin, TMF, 22 (1975), 291