On Double Gauging of U(1) Symmetry on Noncommutative Space

Details On Double Gauging of U(1) Symmetry on Noncommutative Space On Double Gauging of U(1) Symmetry on Noncommutative Space

2004-01-15

arxiv.org/abs/hep-th/0401105v1

Phys.Lett. B586 (2004) 420-424

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1016/j.physletb.2004.02.050

We point out that a field \phi charged under a global U(1) symmetry generally allows for a starred localized extension with the transformation rule, \phi\to U_L\star\phi\star U_R^{-1}. This results in a double gauging of the global U(1) symmetry on noncommutative space. We interpret the gauge theory so obtained in terms of the gauge fields that in the commutative limit appear naturally and are respectively the gauge field responsible for the charge and a decoupled vector field. The interactions are shown to be very different from those obtained by assigning a transformation rule of \phi\to U\star\phi or \phi\star U^{-1}.

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