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Classical Aspects of the Abelian Higgs Model on the Light Front

K. Itakura·S. Maedan·M. Tachibana
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Abstract

We investigate canonical structure of the Abelian Higgs model within the framework of DLCQ. Careful boundary analysis of differential equations, such as the Euler-Lagrange equations, leads us to a novel situation where the canonical structure changes in a drastic manner depending on whether the (light-front) spatial Wilson line is periodic or not. In the former case, the gauge-field ZM takes discrete values and we obtain the so-called ``Zero-Mode Constraints'' (ZMCs), whose semiclassical solutions give a nonzero vev to the scalar fields. Contrary, in the latter case, we have no ZMC and the scalar ZMs remain dynamical as well as the gauge-field ZM. In order to give classically nonzero vev to the scalar field, we work in a background field which minimizes the light-front energy.

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K. Itakura, S. Maedan, M. Tachibana. 1998-07-01. Classical Aspects of the Abelian Higgs Model on the Light Front. https://doi.org/10.1016/s0370-2693(98)01228-3

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