Noncommutative field theory from angular twist
作者： Marija Dimitrijević Ćirić , Nikola Konjik , Maxim A. Kurkov , Fedele Lizzi , Patrizia Vitale
DOI: 10.1103/PHYSREVD.98.085011
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摘要: We consider a noncommutative field theory in three space-time dimensions, with star commutators reproducing solvable Lie algebra. The ⋆-product can be derived from twist operator and it is shown to invariant under twisted Poincare transformations. In momentum space the noncommutativity manifests itself as ⋆-deformed sum for momenta, which allows an equivalent definition of terms convolution plane waves. As application, we analyze λϕ4 at one loop discuss its UV/IR behavior. also kinematics particle decay two different situations: first corresponds splitting where only deformed, whereas second entails nontrivial ⋆-multiplication time variable, while spatial coordinates stays commutative.
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