Geodesic
Renormalizations in nonlinear chiral theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 46-55

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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 ($\sim 20-30\%$). 
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     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},
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     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a3/}
}
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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/