Marija Dimitrijević Ćirić, Biljana Nikolić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani
{"title":"Braided Scalar Quantum Electrodynamics","authors":"Marija Dimitrijević Ćirić, Biljana Nikolić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani","doi":"arxiv-2408.14583","DOIUrl":null,"url":null,"abstract":"We formulate scalar electrodynamics in the braided $L_\\infty$-algebra\nformalism and study its perturbative expansion in the algebraic framework of\nBatalin-Vilkovisky quantization. We confirm that UV/IR mixing is absent at\none-loop order in this noncommutative field theory, and that the non-anomalous\nWard-Takahashi identities for the braided gauge symmetry are satisfied.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"80 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14583","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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