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Braided Scalar Quantum Electrodynamics (2408.14583v2)

Published 26 Aug 2024 in hep-th, math-ph, math.MP, and math.QA

Abstract: We formulate scalar electrodynamics in the braided $L_\infty$-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.

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