Rotational Anomaly for the Chern–Simons Vortices11The project partially supported by National Natural Science Foundation of China, the ITP-CAS and CCAST. Y.X. CHEN is also grateful to the Fok Ying Tong Education Foundation in China for support.

Abstract

We study the model of an Abelian vector field with Chern–Simons term coupled to Higgs field in dimensions and quantize it canonically by using the Dirac–Bergmann algorithm. As an equivalent approach of rotational invariance in the theory, the Schwinger relation is established. We further show the exotic statistics for these configurations and establish a angular-momentum-anomaly connection.