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

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

2009-11-24

arxiv.org/abs/0911.4555v3

Prog.Theor.Phys.123:257-269,2010

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 3 figures; refined the explanations

Scientific paper

10.1143/PTP.123.257

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.

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