Galilean symmetry in a nonabelian Chern Simons matter system

Details Galilean symmetry in a nonabelian Chern Simons matter system Galilean symmetry in a nonabelian Chern Simons matter system

1996-06-05

arxiv.org/abs/hep-th/9606021v1

Annals Phys. 264 (1998) 30-50

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 15 pages, no figures

Scientific paper

10.1006/aphy.1997.5760

We study the Galilean symmetry in a nonrelativistic model, recently advanced by Bak, Jackiw and Pi, involving the coupling of a nonabelian Chern-Simons term with matter fields. The validity of the Galilean algebra on the constraint surface is demonstrated in the gauge independent formalism. Then the reduced space formulation is discussed in the axial gauge using the symplectic method. An anomalous term in the Galilean algebra is obtained which can be eliminated by demanding conditions on the Green function. Finally, the axial gauge is also treated by Dirac's method. Galilean symmetry is preserved in this method. Comparisions with the symplectic approach reveal some interesting features.

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