Gauging by Stückelberg field-shifting symmetry

Details Gauging by Stückelberg field-shifting symmetry Gauging by Stückelberg field-shifting symmetry

2003-05-14

arxiv.org/abs/hep-th/0305124v2

Phys.Lett. B571 (2003) 105-114

Physics

High Energy Physics

High Energy Physics - Theory

revised version. To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2003.07.063

We embed second class constrained systems by a formalism that combines concepts of the BFFT method and the unfixing gauge formalism. As a result, we obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ) field is essential. The initial phase-space variables are gauging with the introduction of the WZ field, a procedure that resembles the St\"uckelberg field- shifting formalism. In some cases, it is possible to eliminate the WZ field and, therefore, obtain an invariant system written only as a function of the original phase-space variables. We apply this formalism to important physical models: the reduced-SU(2) Skyrme model and the two dimensional chiral bosons field theory. In these systems, the gauge-invariant Hamiltonians are derived in a very simple way when compared with other usual formalisms.

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