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Twisted Gauge Theories

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arxiv hep-th/0603024 v2 pith:5XKMWE2D submitted 2006-03-03 hep-th

Paolo Aschieri , Marija Dimitrijevic , Frank Meyer , Stefan Schraml , Julius Wess This is my paper · ORCID
classification hep-th
keywords gaugetheoriesalgebradeformedfieldsadditionalcommutativeconnection
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A new perspective on non-commutative deformations of field and gauge theories

    hep-th 2026-08 conditional novelty 7.0 of 10

    Star products built from active symmetry transformations give gauge-invariant non-commutative theories under a weakened unimodularity condition, with a planar equivalence theorem keeping internal Feynman structure undeformed.

  2. UV/IR mixing as an artifact of non-covariant quantisation

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.

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