Matrix Realization of Gauge Theory on Discrete Group $Z_2$

Details Matrix Realization of Gauge Theory on Discrete Group $Z_2$ Matrix Realization of Gauge Theory on Discrete Group $Z_2$

1994-08-29

arxiv.org/abs/hep-th/9408157v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 10 pages, ASITP-94-9

Scientific paper

We construct a $2\times 2$ matrix algebra as representation of functions on discrete group $Z_2$ and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this approach directly. For the purpose of Physical model building, we introduce a free fermion Lagrangian on $M_4\times Z_2$ and study Yang-Mills like gauge theory.

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