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Letters in Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 1994
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Letters in Mathematical Physics
Article . 1994 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article
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https://dx.doi.org/10.48550/ar...
Article . 1994
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https://dx.doi.org/10.1007/bf0...
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https://dx.doi.org/10.1007/bf0...
Article
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Noncommutative differential geometry with higher-order derivatives

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Dec 1994Embargo end date: 01 Jan 1994 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 32, pages 357-363 (issn: 0377-9017, eissn: 1573-0530, Copyright policy )
Authors: Sitarz, Andrzej;

doi: 10.1007/bf00761145 , 10.48550/arxiv.hep-th/9401146

arXiv: hep-th/9401146

Noncommutative differential geometry with higher-order derivatives

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.

10 pages

Related Organizations
Keywords

High Energy Physics - Theory, Mathematics - Operator Algebras, FOS: Physical sciences, Noncommutative topology, derivatives of the second order, gauge theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, toy model of differential geometry on the real line, Noncommutative differential geometry, noncommutative geometry, Operator Algebras (math.OA), scalar field theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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bronze