Investigation of nonlinear realizations of chiral groups by the method of generating functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 19-33
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An exhaustive description is given of nonlinear realizations of the chiral groups $U_n\times U_n$ and $SU_n\times SU_n$ which are linearized on the subgroups $U_n$ and $SU_n$, respectively. The description is carried out by the method os generating functions using Sylvester – Lagrange polynomials. It is proved that the nonlinear realizations of the chiral group $SU_n\times SU_n$ are stipulated uniquely with an accuracy of up to a canonical redefinition of the field variables; under these conditions the method of generating functions allows explicit indication of the required substitution of field variables. It is shown that unlike semisimple groups, the non-semisimple group $U_n\times U_n$ has nonequivalent nonlinear realizations.
@article{TMF_1969_1_1_a1,
author = {B. M. Zupnik and V. I. Ogievetskii},
title = {Investigation of nonlinear realizations of chiral groups by the method of generating functions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {19--33},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a1/}
}
TY - JOUR AU - B. M. Zupnik AU - V. I. Ogievetskii TI - Investigation of nonlinear realizations of chiral groups by the method of generating functions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1969 SP - 19 EP - 33 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a1/ LA - ru ID - TMF_1969_1_1_a1 ER -
%0 Journal Article %A B. M. Zupnik %A V. I. Ogievetskii %T Investigation of nonlinear realizations of chiral groups by the method of generating functions %J Teoretičeskaâ i matematičeskaâ fizika %D 1969 %P 19-33 %V 1 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a1/ %G ru %F TMF_1969_1_1_a1
B. M. Zupnik; V. I. Ogievetskii. Investigation of nonlinear realizations of chiral groups by the method of generating functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 19-33. http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a1/