Matrix Realization of Gauge Theory on Discrete Group Z2
Abstract
We construct a 2× 2 matrix algebra as representation of functions on discrete group Z2 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 M4× Z2 and study Yang-Mills like gauge theory.
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