Deconfinement transition and localization of Dirac modes in finite-temperature Z3 gauge theory on the lattice

Correlation equalities and some upper bounds for the coupling constant implying area decay of Wilson loop for Z 3 lattice gauge theories

“…In this publication, the method will be applied to study the Z 3 lattice gauge problem where the bond variables are decorated by generalized three-state Ising variables e n2 π i/3 , n = 0, 1, 2. The Z 3 discrete gauge symmetry is relevant to many fields of physics, such as, for instance, in the study of confinement/deconfinement transition in particle physics [1][2][3][4][5][6], in dark matter models, where the Z 3 symmetry ensures stability of dark matter particles [7][8][9][10], and, of course, in the study of lattice gauge theories and their transitions [11][12][13][14][15][16].…”