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arXiv:0911.4555·v3·High Energy Physics — Lattice

Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory

K. Ishiyama🇯🇵 · M. Murata🇯🇵 · H. So🇯🇵 · K. Takenaga🇯🇵

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Abstract

In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge symmetry. It is a global symmetry on sites in a fixed point with respect to Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the vacuum expectation value of a Z_2-projected Polyakov loop is a good order parameter of the new symmetry. The effective theory on lattice is also discussed.

Comments: 13 pages, 3 figures; refined the explanations

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