Prog. Theor. Phys. Vol. 43 No. 5 (1970) pp. 1334-1342
Nonlinear Realizations of Groups and Chiral Transformations in the Quark Model
Department of Physics, Nagoya University, Nagoya
*Department of Physics, Faculty of Science and Engineering, Saga University, Saga
(Received November 17, 1969)
The nonlinear realizations of a compact, connected Lie group are studied. The problem of the linearization is discussed in detail on the basis of the topological structure of the group. It is shown that, in the quark model, the nonlinear realizations of the chiral SU(3) ⊗SU(3) can be linearized through redefinition of field variables, but this is not generally the case for U(3) ⊗U(3).
DOI : 10.1143/PTP.43.1334
- K. Hiida, Institute for Nuclear Study, University of Tokyo preprints, INS-Report-130; Prog. Theor. Phys. 43 (1970), 214[PTP].
S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177 (1969), 2239[APS].
- C. Chevalley Theory of Lie Groups, Princeton Mathematical Series 8 (Princeton University Press, New York and London, 1946), Vol. 1.
Citing Article(s) :
Progress of Theoretical Physics Vol. 44 No. 2 (1970) pp. 512-532
Chiral Symmetry in the Unified Fermion Theory. II
Jiro Arafune, Kichiro Hiida and Tadayuki Ohta