Voja Radovanović

Oct 18, 2024 | onlinelibrary.wiley.com | Biljana Nikolic |Voja Radovanović |Richard Szabo |Guillaume Trojani

We formulate scalar electrodynamics in the braided L ∞ $L_\infty$ -algebra formalism and study its perturbative expansion in the algebraic framework of Batalin–Vilkovisky quantization. We also confirm that UV/IR mixing is absent at one-loop order in this noncommutative field theory, and that the non-anomalous Ward-Takahashi identities for the braided gauge symmetry are satisfied.

Sep 26, 2024 | onlinelibrary.wiley.com | Djordje Bogdanovic |Richard Szabo |Voja Radovanović |Colin Maclaurin Building

We formulate scalar field theories in a curved braided L ∞ $L_\infty$ -algebra formalism and analyse their correlation functions using Batalin–Vilkovisky quantization. We perform detailed calculations in cubic braided scalar field theory up to two-loop order and three-point multiplicity. The divergent tadpole contributions are eliminated by a suitable choice of central curvature for the L ∞ $L_\infty$ -structure, and we confirm the absence of UV/IR mixing.