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arXiv · 2111.03998

Investigating quark confinement from the viewpoint of lattice gauge-scalar models

Ryu Ikeda·Kei-Ichi Kondo
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Abstract

In this talk, first, we show that the color $N$-dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge model are reproduced from the $Z_N$ lattice Abelian gauge model due to the center group dominance in quark confinement. Next, we discuss lattice gauge-scalar models which allow analytic continuation for gauge invariant operators between confinement region and Higgs region. Applying the cluster expansion, we try to understand non-trivial contribution from scalar field in quark confinement mechanism. In order to understand quark confinement further, moreover, we study double-winding Wilson loop averages in the analytical region on the phase diagram.

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Ryu Ikeda, Kei-Ichi Kondo. 2021-11-07. Investigating quark confinement from the viewpoint of lattice gauge-scalar models. https://arxiv.org/abs/2111.03998

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