Quantal conserved laws in the non-Abelian higher-derivative Chern-Simons theories
Chinese Center of Advanced Science and Technology (CCAST)
(World Laboratory), Beijing 100080, China
2 Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, China
Accepted: 7 August 1997
Based on the phase space generating functional of the Green function for a system with a singular higher-order Lagrangian, the quantal conserved laws (QCL) have been derived under the global symmetry transformation in the extended phase space. The application of the results to non-Abelian higher-derivative Chern-Simons theories (NAHDCST) is studied; the quantal BRS conserved quantity and conserved angular momentum are obtained. This quantal conserved angular momentum differs from classical Noether one.
PACS: 11.10.Ef – Lagrangian and Hamiltonian approach / 11.30.-j – Symmetry and conservation laws / 03.70.+k – Theory of quantized fields
© EDP Sciences, 1997