Prog. Theor. Phys. Vol. 70 No. 6 (1983) pp. 1692-1695

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Letters

Gauge Field Formulation of Geometrical Models

Kiyoshi Kamimura

Department of Physics, Toho University, Miyama, Funabashi 274

(Received July 18, 1983)

Abstract:

We reformulate three geometrical models, invariant under coordinate reparametrization, as the gauge theory of Yang-Mills type. They are relativistic free particle, spinning particle and string models. It is accomplished by extending the point gauge transformation to the linear canonical transformation for the matter fields.

URL : http://ptp.ipap.jp/link?PTP/70/1692/
DOI : 10.1143/PTP.70.1692

References:

C. N. Yang and R. L. Mills, Phys. Rev. 96 (1954), 191[APS].
E. A. Ivanov and J. Niederle, Phys. Rev. D 25 (1982), 976[APS].
K. Kamimura, Preprint I. N. F. N. Firenze (1982).
L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. Howe, Phys. Lett. B 64 (1976), 435[CrossRef].
Y. Nambu, Proceeding of International Conference on Symmetry and Quark Model, Detroit, 1969.
T. Goto, Prog. Theor. Phys. 46 (1971), 1560[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 413-418 :
W-Transformations and Particle Mechanics Models

J. Gomis, J. Herrero, Kiyoshi Kamimura and J. Roca