Twisted Gauge Theories

被引:0
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作者
Paolo Aschieri
Marija Dimitrijević
Frank Meyer
Stefan Schraml
Julius Wess
机构
[1] Universität München,Arnold Sommerfeld Center for Theoretical Physics, Fakultät für Physik
[2] Max-Planck-Institut für Physik,Zentrum für Mathematische Physik
[3] DESY und Universität Hamburg,Faculty of Physics
[4] University of Belgrade,Dipartimento di Scienze e Tecnologie Avanzate
[5] Universitá del Piemonte Orientale,undefined
[6] and INFN,undefined
来源
关键词
deformed spaces; twisted gauge transformations; noncommutative gauge theories; 81T75 Noncommutative geometry methods; 81T13 Yang-Mills and other gauge theories;
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摘要
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.
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页码:61 / 71
页数:10
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