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Prog. Theor. Phys. Vol. 69 No. 1 (1983) pp. 252-261
On the Relation of First-Class Constraints to Gauge Degrees of Freedom
Reiji Sugano and
Toshiei Kimura*
Department of Physics, Osaka City University, Osaka 558
*Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725
(Received September 3, 1982)
Abstract:
A further consideration is made to support the proposition, given in a previous paper, that only intrinsic first class constraints are associated with gauge degrees of freedom. Our argument is based on the consistency requirement between the Lagrangian and the Hamiltonian formalisms, reducibility conditions of gauge degrees of freedom and gauge fixing conditions in the quantization procedure by means of the Dirac bracket method.
URL :
http://ptp.ipap.jp/link?PTP/69/252/
DOI : 10.1143/PTP.69.252
References:
- P. A. M. Dirac, Lecture on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).
-
R. Cawley, Phys. Rev. Lett. 42 (1979), 413[APS].
-
A. Frenkel, Phys. Rev. D 21 (1980), 2986[APS].
- R. Sugano and H. Kamo, Prog. Theor. Phys. 67 (1982), 1966[PTP].
- R. Sugano, Prog. Theor. Phys. 68 (1982), 1377[PTP].
-
S. Shanmugadhasan, J. Math. Phys. 14 (1973), 677[CrossRef].
-
D. Dominici and J. Gomis, J. Math. Phys. 21 (1980), 2124[CrossRef];
ibid. 23 (1982), 256[CrossRef].
- R. Sugano, “On Reducibility Condition of Gauge Degrees of Freedom”, preprint (1982).
- R. Marnelius, “Introduction to the Quantization of General Gauge Theories”, Lectures delivered at the VIth Autumn School on Theoretical Physics, Szczyrk, Poland, 1981, to be published in Acta Physica Polonica.
-
N. H. Christ and T. D. Lee, Phys. Rev. D 22 (1980), 939[APS].
-
M. E. V. Costa and H. O. Girotti, Phys. Rev. D 24 (1981), 3323[APS].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1256-1271
:
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On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints
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Reiji Sugano and Toshiei Kimura
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Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 36-50
:
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Necessary and Sufficient Conditions of Reducibility of Gauge Degrees of Freedom without Using Gauge Conditions
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Reiji Sugano
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Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 283-301
:
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Generator of Gauge Transformation in Phase Space and Velocity Phase Space
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Reiji Sugano, Yoshihiko Saito and Toshiei Kimura
