Noncommutative differential geometry with higher order derivatives

Andrzej Sitarz

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arxiv hep-th/9401146 v1 pith:ZSFTQZ6I submitted 1994-01-28 hep-th math.OA

Noncommutative differential geometry with higher order derivatives

Andrzej Sitarz This is my paper

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keywords geometryderivativesdifferentialnoncommutativeordertheorybrieflybuild

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We build a toy model of differential geometry on the real line, which includes derivatives of the second order. Such construction is possible only within the framework of noncommutative geometry. We introduce the metric and briefly discuss two simple physical models of scalar field theory and gauge theory in this geometry.

Noncommutative differential geometry with higher order derivatives

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