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Twist symmetry and gauge invariance

2006/04/25 by Масуд Чайчиан, M. Chaichian, A. Tureanu +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.04.040

published as Phys.Lett.B637:199-202,2006 · 10 pages

arxiv created 2006/04/25 · openalex publication_date 2006/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By applying properly the concept of twist symmetry to the gauge invariant theories, we arrive at the conclusion that previously proposed in the literature noncommutative gauge theories, with the use of ⋆-product, are the correct ones, which possess the twisted Poincaré symmetry. At the same time, a recent approach to twisted gauge transformations is in contradiction with the very concept of gauge fields arising as a consequence of \it local internal symmetry. Detailed explanations of this fact as well as the origin of the discrepancy between the two approaches are presented.

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