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- W3167520003 abstract "In this paper, we start the investigation of a new natural approach to unifying noncommutative gauge field theories (NCGFT) based on approximately finite-dimensional ($AF$) $C^*$-algebras. The defining inductive sequence of an $AF$ $C^*$-algebra is lifted to enable the construction of a sequence of NCGFT of Yang-Mills-Higgs types. The present paper focus on derivation-based noncommutative field theories. A mathematical study of the ingredients involved in the construction of a NCGFT is given in the framework of $AF$ $C^*$-algebras: derivation-based differential calculus, modules, connections, metrics and Hodge $star$-operators, Lagrangians... Some physical applications concerning mass spectra generated by Spontaneous Symmetry Breaking Mechanisms (SSBM) are proposed using numerical computations for specific situations." @default.
- W3167520003 created "2021-06-22" @default.
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- W3167520003 date "2021-06-15" @default.
- W3167520003 modified "2023-10-18" @default.
- W3167520003 title "Derivation-based Noncommutative Field Theories on $AF$ algebras" @default.
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