Braided Scalar Quantum Electrodynamics

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

doi:10.1002/prop.202400190

Braided Scalar Quantum Electrodynamics

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We formulate scalar electrodynamics in the braided L_∞-algebra formalism and study its perturbative expansion in the algebraic framework of Batalin–Vilkovisky quantization. We also 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.

Original language	English
Article number	2400190
Journal	Fortschritte der Physik
Volume	72
Issue number	12
Early online date	18 Oct 2024
DOIs	https://doi.org/10.1002/prop.202400190
Publication status	Published - Dec 2024

Keywords

braided L∞-algebra
BV quantization
noncommutative field theory
scalar electrodynamics

ASJC Scopus subject areas

General Physics and Astronomy

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10.1002/prop.202400190

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AU - Dimitrijević Ćirić, Marija

AU - Nikolić, Biljana

AU - Radovanović, Voja

AU - Szabo, Richard J.

AU - Trojani, Guillaume

PY - 2024/12

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N2 - We formulate scalar electrodynamics in the braided L∞-algebra formalism and study its perturbative expansion in the algebraic framework of Batalin–Vilkovisky quantization. We also 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.

AB - We formulate scalar electrodynamics in the braided L∞-algebra formalism and study its perturbative expansion in the algebraic framework of Batalin–Vilkovisky quantization. We also 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.

KW - braided L∞-algebra

KW - BV quantization

KW - noncommutative field theory

KW - scalar electrodynamics

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DO - 10.1002/prop.202400190

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ER -

Braided Scalar Quantum Electrodynamics

Abstract

Keywords

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