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Nuclear Physics B
Article . 2008 . Peer-reviewed
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Nuclear Physics B
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Gauge theory of the star product

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2008Embargo end date: 01 Jan 2007 English Publisher:Elsevier BVJournal:Nuclear Physics B, volume 791, pages 284-297 (issn: 0550-3213, Copyright policy )
Authors: Pinzul, A.; Stern, A.;

doi: 10.1016/j.nuclphysb.2007.09.012 , 10.48550/arxiv.0705.1785

arXiv: 0705.1785

Gauge theory of the star product

Abstract

The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a gauge invariant treatment, we develop tools, such as integration measures and covariant derivatives on this space. The covariant derivative can be expressed in terms of connections in the usual way giving rise to new degrees of freedom for noncommutative theories.

16 pages

Related Organizations
Keywords

High Energy Physics - Theory, Deformation quantization, star products, non-commutative gauge theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, FOS: Physical sciences, Mathematical Physics (math-ph), star product, Geometry and quantization, symplectic methods, Mathematical Physics, Yang-Mills and other gauge theories in quantum field theory

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    		 8
    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
8
Average
Average
Top 10%
Green
gold