Quantal global symmetry for a gauge-invariant system |
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Authors: | Zi-ping Li Hai-xiao Gao |
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Affiliation: | (1) Chinese Center of Advanced Science and Technology (CCAST) (World Laboratory), 100080 Beijing, China;(2) Department of Applied Physics, Beijing Polytechnic University, 100022 Beijing, China |
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Abstract: | Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system, the Ward identities for global transformation are derived. The conservation laws at the quantum level for global symmetry transformation are also deduced. A preliminary application of the present formulation to non-Abelian Chern-Simons (CS) theory is given. The Ward identity and quantal BRS charge under the BRS transformation are deduced. The quantal conserved angular momentum is obtained and the fractional spin for CS theories is discussed. |
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