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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Fortschritte der Phy...arrow_drop_down
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Fortschritte der Physik
Article . 2001 . Peer-reviewed
License: Wiley TDM
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Gauge Theories beyond Gauge Theories

Gauge theories beyond gauge theories
descriptionPublicationkeyboard_double_arrow_right Article 01 May 2001Publisher:WileyJournal:Fortschritte der Physik, volume 49, page 377 (issn: 0015-8208, eissn: 1521-3978, Copyright policy )
Authors: Julius Wess; Julius Wess;

doi: 10.1002/1521-3978(200105)49:4/6<377::aid-prop377>3.3.co;2-u

Gauge Theories beyond Gauge Theories

Abstract

Summary: We introduce the algebra of functions generated by non-commuting coordinates and construct an isomorphism of this algebra to the usual algebra of functions equipped with a noncommutative \(\diamondsuit\) product. In order to be able to formulate dynamics and do field theory, we have to define derivatives and integration. The construction of non-Abelian gauge theory on noncommutative spaces is based on enveloping algebra-valued gauge fields. The number of independent field components is reduced to the number of gauge fields in a usual gauge theory. This is done with the help of the Seiberg-Witten map.

Related Organizations
Keywords

Seiberg-Witten map, noncommutative product, Noncommutative geometry in quantum theory, non-commuting coordinates, algebra of functions, Yang-Mills and other gauge theories in quantum field theory

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    		 4
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    influence
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citations
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!
4
Average
Average
Average
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