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

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

2008-08-27

arxiv.org/abs/0808.3654v1

Int.J.Mod.Phys.A23:4051-4062,2008

Physics

Mathematical Physics

15 pages, Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X08041645

For 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.

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