Gauge symmetries of systems with a finite number of degrees of freedom

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dc.creatorLoran, Farhang
dc.date2008-08-27
dc.date.accessioned2026-07-07T12:24:22Z
dc.date.available2026-07-07T12:24:22Z
dc.descriptionFor systems with a finite number of degrees of freedom, it is shown in [arXiv:hep-th/0303014] that first class constraints are Abelianizable if the Faddeev-Popov determinant is not vanishing for some choice of subsidiary constraints. Here, for irreducible first class constraint systems with SO(3) or SO(4) gauge symmetries, including a subset of coordinates in the fundamental representation of the gauge group, we explicitly determine the Abelianizable and non-Abelianizable classes of constraints. For the Abelianizable class, we explicitly solve the constraints to obtain the equivalent set of Abelian first class constraints. We show that for non-Abelianizable constraints there exist residual gauge symmetries which results in confinement-like phenomena.
dc.description15 pages, Int. J. Mod. Phys. A
dc.identifierhttps://arxiv.org/abs/0808.3654
dc.identifierhttp://arxiv.org/abs/0808.3654
dc.identifierInt.J.Mod.Phys.A23:4051-4062,2008
dc.identifierdoi:10.1142/S0217751X08041645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214302
dc.subjectMathematical Physics
dc.subject81T70, 70H45
dc.titleGauge symmetries of systems with a finite number of degrees of freedom
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