Using the recently developed formalism of braided noncommutative field theory, we construct an explicit example of braided electrodynamics, that is, a noncommutative U(1) gauge theory coupled to a Dirac fermion. We construct the braided L∞-algebra of this field theory and apply the formalism to obtain the braided equations of motion, action functional and conserved matter current. The braided deformations 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.
|Journal||Proceedings of Science|
|Publication status||Published - 23 Nov 2022|
|Event||20th Hellenic School and Workshops on Elementary Particle Physics and Gravity 2021 - Corfu, Greece|
Duration: 29 Aug 2021 → 9 Oct 2021
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