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Prog. Theor. Phys. Vol. 70 No. 1 (1983) pp. 36-50

[ Full Text PDF : FREE ACCESS (512K) ]

Necessary and Sufficient Conditions of Reducibility of Gauge Degrees of Freedom without Using Gauge Conditions

Reiji Sugano

Department of Physics, Osaka City University, Osaka 558

(Received March 18, 1983)

Abstract:

For dynamical systems described by singular Lagrangain, the conditions under which gauge degrees of freedom can be eliminated by transformations of variables are obtained within the framework of classical dynamics. All the systems whose gauge degrees of freedom are reducible without using gauge conditions may be classified into the following two cases. (i) A weakly reducible case; there exists a canonical transformation by which some of the gauge dependent variables in a Hamiltonian can be separated from other dynamical variables. Hence their gauge degrees of freedom can be completely isolated. (ii) A strongly reducible case; there is a point transformation by which the number of dynamical variables describing a Lagrangain (also a Hamiltonian) of a system can be reducible. Hence the corresponding gauge degrees of freedom are eliminated from the formula. Necessary and sufficient conditions for the reducibility are presented for each case.


URL : http://ptp.ipap.jp/link?PTP/70/36/
DOI : 10.1143/PTP.70.36

[ Full Text PDF : FREE ACCESS (512K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 1025-1042 :
    Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors
    Reiji Sugano, Tohru Sohkawa and Toshiei Kimura
  2. Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 283-301 :
    Generator of Gauge Transformation in Phase Space and Velocity Phase Space
    Reiji Sugano, Yoshihiko Saito and Toshiei Kimura

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