An improved Gauge Unfixing formalism and the Abelian Pure Chern Simons Theory

Details An improved Gauge Unfixing formalism and the Abelian Pure Chern Simons Theory An improved Gauge Unfixing formalism and the Abelian Pure Chern Simons Theory

2006-09-29

arxiv.org/abs/hep-th/0609223v2

Braz.J.Phys.37:1106-1110,2007

Physics

High Energy Physics

High Energy Physics - Theory

revised version. To appear in Brazilian Journal of Physics

Scientific paper

10.1590/S0103-97332007000700005

We propose a variant scheme of the Gauge Unfixing formalism which modifies directly the original phase space variables of a constrained system. These new variables are gauge invariant quantities. We apply our procedure in a mixed constrained system that is the Abelian Pure Chern Simons Theory where several gains are obtained. In particular, from the gauge invariant Hamiltonian and using the inverse Legendre transformation, we obtain the same initial Abelian Pure Chern Simons Lagrangian as the gauge invariant Lagrangian. This result shows that the gauge symmetry of the action is certainly preserved.

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