Quantal conserved laws in the non-Abelian higher-derivative Chern-Simons theories

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1997 EDP Sciences
, , Citation Zi-ping Li and Jun Bao 1997 EPL 39 599 DOI 10.1209/epl/i1997-00400-0

0295-5075/39/6/599

Abstract

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.

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10.1209/epl/i1997-00400-0