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Twisted Gauge Theories

Twisted gauge theories
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2006Embargo end date: 01 Jan 2006 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 78, pages 61-71 (issn: 0377-9017, eissn: 1573-0530, Copyright policy )
Authors: Paolo Aschieri; Julius Wess; Julius Wess; Julius Wess; Marija Dimitrijevic; Stefan Schraml; Frank Meyer; +1 Authors

doi: 10.1007/s11005-006-0108-0 , 10.48550/arxiv.hep-th/0603024

arXiv: hep-th/0603024

handle: 11579/33242

Twisted Gauge Theories

Abstract

Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter and reduce in the commutative limit to free fields. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed.

11 pages, V2: details and appendix added

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Keywords

High Energy Physics - Theory, Deformation quantization, star products, Noncommutative geometry (à la Connes), twisted gauge transformations, FOS: Physical sciences, Statistical and Nonlinear Physics, noncommutative gauge theories, Yang-Mills and other gauge theories in quantum field theory, deformed spaces, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Mathematical Physics

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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!
57
Top 10%
Top 10%
Top 10%
Green