We formulate scalar electrodynamics in the braided L∞-algebra formalism and study its perturbative expansion in the algebraic framework of Batalin-Vilkovisky quantization. We 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.
@article{arxiv.2408.14583,
title = {Braided Scalar Quantum Electrodynamics},
author = {Marija Dimitrijević Ćirić and Biljana Nikolić and Voja Radovanović and Richard J. Szabo and Guillaume Trojani},
journal= {arXiv preprint arXiv:2408.14583},
year = {2024}
}