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A dynamical mechanism of vortex charge in (2+1)-dimensional Abelian-Higgs system

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Il Nuovo Cimento A (1965-1970)

Summary

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.

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Authors and Affiliations

  1. Department of Physics, Ritsumeikan University, 603, Kyoto, Japan

    K. I. Takada & H. Kuratsuji

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  1. K. I. Takada
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  2. H. Kuratsuji
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Takada, K.I., Kuratsuji, H. A dynamical mechanism of vortex charge in (2+1)-dimensional Abelian-Higgs system. Nuov Cim A 106, 661–673 (1993). https://doi.org/10.1007/BF02787235

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  • DOI: https://doi.org/10.1007/BF02787235

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