编织标量量子电动力学

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-26 DOI:arxiv-2408.14583

Marija Dimitrijević Ćirić, Biljana Nikolić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani

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引用次数: 0

摘要

我们在编织的$L_\infty$-代数形式主义中提出了标量电动力学，并在巴塔林-维尔科夫斯基量子化的代数框架中研究了它的微扰展开。我们证实在这个非交换场论中不存在单环阶的紫外/红外混合，并且满足编织规对称的非反常沃德-高桥（Ward-Takahashi）等式。

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Braided Scalar Quantum Electrodynamics

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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arXiv - MATH - Quantum Algebra

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