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• W2063273894 abstract "We report on a comprehensive analysis of the renormalization of noncommutative phi^4 scalar field theories on the Groenewold-Moyal (GM) plane. These scalar field theories are twisted Poincar'e invariant. Our main results are that these scalar field theories are renormalizable, free of UV/IR mixing, possess the same fixed points and beta-functions for the couplings as their commutative counterparts. We also argue that similar results hold true for any generic noncommutative field theory with polynomial interactions and involving only pure matter fields. A secondary aim of this work is to provide a comprehensive review of different approaches for the computation of the noncommutative S-matrix: noncommutative interaction picture and noncommutative LSZ formalism." @default.
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• W2063273894 date "2013-03-13" @default.
• W2063273894 modified "2023-09-24" @default.
• W2063273894 title "Renormalization of noncommutative quantum field theories" @default.
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• W2063273894 doi "https://doi.org/10.1103/physrevd.87.064014" @default.
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