2023/04/27 by Djordje Bogdanović, Marija Dimitrijević Ćirić, Bogdanović, Djordje +5 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2304.14073
openalex publication_date 2023/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.