The $σ$-Model and Non-commutative Geometry

Details The $σ$-Model and Non-commutative Geometry The $σ$-Model and Non-commutative Geometry

1994-08-28

arxiv.org/abs/hep-th/9408150v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In terms of non-commutative geometry, we show that the $\sigma$--model can be
built up by the gauge theory on discrete group $Z_2$. We introduce a constraint
in the gauge theory, which lead to the constraint imposed on linear $\sigma$
model to get nonlinear $\sigma$ model .

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