Ki. Takada et H. Kuratsuji, A DYNAMICAL MECHANISM OF VORTEX CHARGE IN (2-DIMENSIONAL ABELIAN-HIGGS SYSTEM(1)), Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 106(5), 1993, pp. 661-673
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.