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Twisted Gauge Theories |
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| Authors: | Paolo Aschieri Marija Dimitrijević Frank Meyer Stefan Schraml Julius Wess |
| Affiliation: | 5. Dipartimento di Scienze e Tecnologie Avanzate, Universitá del Piemonte Orientale, and INFN, Via Bellini 25/G, 15100, Alessandria, Italy 4. Faculty of Physics, University of Belgrade, Studentski trg 12, 11000, Belgrade, Serbia and Montenegro 1. Arnold Sommerfeld Center for Theoretical Physics, Fakult?t für Physik, Universit?t München, Theresienstr. 37, 80333, Munich, Germany 2. Max-Planck-Institut für Physik, F?hringer Ring 6, 80805, Munich, Germany 3. Zentrum für Mathematische Physik, DESY und Universit?t Hamburg, Notkestr. 85, 22607, Hamburg, Germany |
| 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 θ 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. |
| Keywords: | deformed spaces twisted gauge transformations noncommutative gauge theories |
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