The Hamilton-Jacobi treatment for non-abelian Chern-Simons system

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, Latex

Scientific paper

10.1016/S0920-5632(03)01733-X

The non-abelian Chern-Simons field interacting with $N$ component complex
field is treated as a constrained system using the Hamilton-Jacobi approach.
The reduced phase space Hamiltonian density is obtained without introducing
Lagrange multipliers and with out any additional gauge fixing condition. The
quantization of this system is also discussed.

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