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arXiv · 1504.01484

Equivariance on Discrete Space and Yang-Mills-Higgs Model

Hitoshi Ikemori·Shinsaku Kitakado·Yoshimitsu Matsui·Hideharu Otsu·Toshiro Sato
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Abstract

We introduce the basic equivariant quantity $Q$ in the gauge theory on the noncommutative descrete $Z_{2}$ space, which plays an important role for the equivariant dimensional reduction. If the gauge configuration of the ground state on the extra dimensional space is described by the equivariant $Q$, then the extra dimensional space is invisible. Especially, using the equivariance principle, we show that the Yang-Mills theory on $R^{2}\times Z_{2}$ space is equivalent to the Yang-Mills-Higgs model on $R^{2}$ space. It can be said that this model is the simplest model of this type.

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Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui, Hideharu Otsu, Toshiro Sato. 2015-04-07. Equivariance on Discrete Space and Yang-Mills-Higgs Model. https://arxiv.org/abs/1504.01484

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