Twist Symmetry and Gauge Invariance

Details Twist Symmetry and Gauge Invariance Twist Symmetry and Gauge Invariance

2006-04-04

arxiv.org/abs/hep-th/0604025v2

Phys.Lett.B637:199-202,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physletb.2006.04.040

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 $\star$-product, are the correct ones, which possess the twisted Poincar\'e 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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