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Prog. Theor. Phys. Vol. 65 No. 1 (1981) pp. 315-337
The Dynamical Rearrangement of Symmetry and the Group Contraction
M. Hongoh,
Hideki Matsumoto and
Hiroomi Umezawa
Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1
(Received December 3, 1979)
Abstract:
The purpose of this paper is to clarify the relation between the dynamical rearrangement of symmetry and a group contraction. A necessary and sufficient condition for dynamical rearrangement to follow a group contraction is obtained.
URL :
http://ptp.ipap.jp/link?PTP/65/315/
DOI : 10.1143/PTP.65.315
References:
- H. Umezawa, Nuovo Cim. A 40 (1965), 450.
L. Leplae, R. N. Sen and H. Umezawa, Prog. Theor. Phys. Suppl. Extra Number (1965), 637[PTP].
L. Leplae and H. Umezawa, Nuovo Cim. B 44 (1966), 410.
-
H. Matsumoto, N. J. Papastamatiou and H. Umezawa, Nucl. Phys. B 82 (1974), 45[CrossRef].
- H. Joos and E. Weimar, Nuovo Cim. A 32 (1976), 283.
-
C. de Concini and G. Vitiello, Nucl. Phys. B 116 (1976) 141[CrossRef];
Phys. Lett. B 70 (1977), 355[CrossRef].
-
H. Matsumoto, H. Umezawa, G. Vitiello and J. K. Wyly, Phys. Rev. D 9 (1974), 2806[APS].
-
H. Matsumoto, N. J. Papastamatiou and H. Umezawa, Phys. Rev. D 13 (1976), 1054[APS].
- H. Matsumoto, N. J. Papastamatiou and H. Umezawa, Proceedings of the XIIth Winter School of Theoretical Physics at Karpacz, Acid Universitatis, Wratislaviensis (1976), p. 363.
- Y. Fujimoto and N. J. Papastamatiou, Nuovo Cim. A 40 (1977), 468.
- L. S. Pontrjagin, Topological Groups (Princeton, N. J., Princeton University Press, 1956).
- E. Inonu and E. P. Wigner, Proc. Natl. Acad. Sci. 39 (1953), 510; See also Ref. 11).
- For the classification of the maximal subgroups in a simple Lie group, see, for example,
R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications (John Wiley & Sons, 1974).
-
H. Matsumoto, N. J. Papastamatiou and H. Umezawa, Phys. Lett. B 46 (1973), 73[CrossRef];
Nucl. Phys. B 68 (1974), 236[CrossRef].
N. Nakanashi, Prog. Theor. Phys. 51 (1974), 1183[PTP].
Y. Takahashi, Phys. Rev. D 15 (1977), 1589[APS].