Invariant properties of weak interactions and the Cabibbo angle in chiral dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 324-334
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It is shown that if the Cabibbo angle is introduced by an axial (and not vector) rotation
about the seventh axis in $SU_3$-space, and it is assumed that the pion is massless before
the rotation, the well-known contradiction between the allowed regions of values of the
parameters of the broken $SU_3\otimes SU_3$ chiral symmetry can be eliminated. Different
models are discussed and an investigation made of the Hamiltonian of the $SU_3\otimes SU_3$
chiral symmetry breaking before the Cabibbo rotation. The results are generalized
to $SU_4\otimes SU_4$. The invariance properties of the weak interactions under permutation of the quark isodoublets in the Glashow–Iliopoulos–Maiani model are used. Corresponding
unitary transformations are constructed and a theorem proved about the structure of the
Hamiltonian of the $SU_4\otimes SU_4$ chiral symmetry breaking.
@article{TMF_1978_36_3_a3,
author = {A. A. Khelashvili},
title = {Invariant properties of weak interactions and the {Cabibbo} angle in chiral dynamics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {324--334},
publisher = {mathdoc},
volume = {36},
number = {3},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a3/}
}
TY - JOUR AU - A. A. Khelashvili TI - Invariant properties of weak interactions and the Cabibbo angle in chiral dynamics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1978 SP - 324 EP - 334 VL - 36 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a3/ LA - ru ID - TMF_1978_36_3_a3 ER -
A. A. Khelashvili. Invariant properties of weak interactions and the Cabibbo angle in chiral dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 324-334. http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a3/