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- W2020157874 abstract "We consider a gauge theory by taking real quantum groups of nondegenerate bilinear form as a symmetry. The construction of this quantum gauge theory is developed in order to fit with the Hopf algebra structure. In this framework, we show that an appropriate definition of the infinitesimal gauge variations and the axioms of the Hopf algebra structure of the symmetry group lead to the closure of the infinitesimal gauge transformations without any assumption on the commutation rules of the gauge parameters, the connection and the curvature. An adequate definition of the quantum trace is given leading to the quantum Killing form. This is used to construct an invariant quantum Yang–Mills Lagrangian." @default.
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- W2020157874 title "QUANTUM GAUGE THEORIES" @default.
- W2020157874 doi "https://doi.org/10.1142/s0217751x96000316" @default.
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