A DYNAMICAL MECHANISM OF VORTEX CHARGE IN (2-DIMENSIONAL ABELIAN-HIGGS SYSTEM(1))

We study a dynamical mechanism of the electric charge carried by a vor tex which appears in the Abelian-Higgs model, which is described by th e dynamics in gauge space. The effective Lagrangian is derived for the gauge rotation of vortex, in which the inertia parameter is given in terms of a specific function that characterizes the dynamical gauge tr ansformation and is determined by the Gauss law. The electric charge c arried by the vortex lump is introduced as the conjugate momentum to t he gauge angle, which is semi-classically quantized. A brief discussio n is also given of the motion of coupled rotors associated with the mu ltiple vortices.