English

Noncommutative differential geometry with higher order derivatives

High Energy Physics - Theory 2009-10-28 v1 Operator Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9401146,
  title  = {Noncommutative differential geometry with higher order derivatives},
  author = {Andrzej Sitarz},
  journal= {arXiv preprint arXiv:hep-th/9401146},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-07-22T15:48:51.011Z