$L_\infty$-algebra of braided electrodynamics
Abstract
Using the recently developed formalism of braided noncommutative field theory, we construct an explicit example of braided electrodynamics, that is, a noncommutative gauge theory coupled to a Dirac fermion. We construct the braided -algebra of this field theory and apply the formalism to obtain the braided equations of motion, action functional and conserved matter current. The braided deformation leads to a modification of the charge conservation. Finally, the Feynman integral appearing in the one-loop contribution to the vacuum polarization diagram is calculated. There are no non-planar diagrams, but the UV/IR mixing appears nevertheless. We comment on this unexpected result.
Cite
@article{arxiv.2204.06448,
title = {$L_\infty$-algebra of braided electrodynamics},
author = {Marija Dimitrijević Ćirić and Nikola Konjik and Voja Radovanović and Richard J. Szabo and Miša Toman},
journal= {arXiv preprint arXiv:2204.06448},
year = {2022}
}
Comments
16 pages; Contribution to the Proceedings of the Workshop on "New Developments in Quantum Gravity and String Theory", Corfu Summer Institute on Elementary Particle Physics and Gravity, 29 August-9 October 2021, Corfu, Greece