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Generalized Canonical Ward Identities
Authors:Yong-Long Wang
Institution:(1) Institute of Condensed Matter of Physics, Linyi Normal University, Linyi, 276005, China;(2) Department of Physics, Linyi Normal University, Linyi, 276005, China
Abstract:In the framework of Faddeev-Senjanovic (FS) path-integral quantization, CP 1 nonlinear σ model coupled to Non-Abelian Chern-Simons (CS) fields is quantized. Generalized canonical Ward identities (WI) are deduced from the invariance of the canonical effective action under gauge transformations, which are obtained from the generators of gauge transformations, including all first-class constraints, in Dirac’s sense. The generalized canonical WI has brief form and is equivalent to canonical WI under gauge transformations in Dirac’s sense. This project is supported by Foundation of National Natural Science (10671086), Foundation of Shandong Natural Science (Y2007A01) and National Laboratory for Superlattices and Microstructures (CHJG200605).
Keywords:Quantum symmetries  Ward identities  CS theory  Path-integral quantization formalism
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