## Abstract

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.

Original language | English |
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Article number | 197 |

Journal | Proceedings of Science |

Volume | 406 |

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 |

## ASJC Scopus subject areas

- General

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