A dynamical mechanism of vortex charge in (2+1)-dimensional Abelian-Higgs system
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We study a dynamical mechanism of the electric charge carried by a vortex which appears in the Abelian-Higgs model, which is described by the 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 transformation and is determined by the Gauss law. The electric charge carried by the vortex lump is introduced as the conjugate momentum to the gauge angle, which is semi-classically quantized. A brief discussion is also given of the motion of coupled rotors associated with the multiple vortices.
PACS11.10.Lm Nonlinear or nonlocal theories and models
PACS11.15.Ex Spontaneous breaking of gauge symmetries
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- R. Rajaraman:Solitons and Instantons (North-Holland, 1982).Google Scholar
- In what follows we adopt the unitc=ħ=1.Google Scholar
- C. Itzykson andJ. Zuber:Quantum Field Theory (McGraw-Hill, New York, N.Y., 1978).Google Scholar
- We use the terminology of «gauge space» as a space described the coordinate α.Google Scholar
- L. Schulman:Techniques and Applications of Path Integration (Wiley, New York, N.Y. 1981);A. Inomata andV. Singh:J. Math. Phys.,19, (1978).Google Scholar
- In (3.32), we putI’ω/e in accordance with the definition of the «inertia» parameter (3.18) such that the dimension ofI’ coincides with that ofI. It should also be noted that in the above expression we need to introduce the cut-off in order to avoid the singularity arising from the logarithmic behaviour of the function Θ near the origin ρ=0.Google Scholar
- A similar idea was adopted by Witten in the quantization of dyon charge:Phys. Lett. B,86, 283 (1979).Google Scholar