The σ-Model and Non-commutative Geometry
classification
✦ hep-th
keywords
modelsigmaconstraintgaugegeometrynon-commutativetheorybuilt
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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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