New Gauge Invariant Formulation of the Chern-Simons Gauge Theory

Details New Gauge Invariant Formulation of the Chern-Simons Gauge Theory New Gauge Invariant Formulation of the Chern-Simons Gauge Theory

1998-03-25

arxiv.org/abs/hep-th/9803208v2

Phys.Rev.D58:101702,1998

Physics

High Energy Physics

High Energy Physics - Theory

Shortened, to appear as Papid Communication-PRD/Nov/98

Scientific paper

10.1103/PhysRevD.58.101702

A new gauge invariant formulation of the relativistic scalar field interacting with Chern-Simons gauge fields is considered. This formulation is consistent with the gauge fixed formulation. Furthermore we find that canonical (Noether) Poincar\'e generators are not gauge invariant even on the constraints surface and do not satisfy the (classical) Poincar\'e algebra. It is the improved generators, constructed from the symmetric energy-momentum tensor, which are (manifestly) gauge invariant and obey the classical Poincar\'e algebra.

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