We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided L∞-structures and the Batalin--Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its quantization using braided homological perturbation theory. The formalism is illustrated through one-loop calculations of the two-point functions for ϕ4-theory in four dimensions and ϕ3-theory in six dimensions. In both cases we find that there are no non-planar diagrams and no UV/IR mixing.
|Proceedings of Science
|Published - 8 Nov 2023
|Corfu Summer Institute 2022: 22nd Hellenic School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece
Duration: 28 Aug 2022 → 1 Oct 2022
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