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Deformed Field Theory on kappa-spacetime

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arxiv hep-th/0307149 v2 pith:XTOHWC6A submitted 2003-07-16 hep-th

Marija Dimitrijevic , Larisa Jonke , Lutz Möller , Efrossini Tsouchnika , Julius Wess , Michael Wohlgenannt This is my paper · ORCID
classification hep-th
keywords algebragroupquantumfieldformalismpoincarspacetimetheory
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A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (Poincar\' e group) is replaced by a quantum group. This formalism is demonstrated for the kappa-deformed Poincar\'e algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable star-product. Fields are elements of this function algebra. The Dirac and Klein-Gordon equation are defined and an action is found from which they can be derived.

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  1. Yang-Mills Field in the $\kappa$-space-time

    hep-th 2024-11 conditional novelty 6.0 of 10

    A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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