Braided scalar quantum field theory

Djordje Bogdanović, Marija Dimitrijević Ćirić, Voja Radovanović, Richard J. Szabo, Guillaume Trojani

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1 Citation (Scopus)
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Abstract

We formulate scalar field theories in a curved braided L-algebra formalism and analyse their correlation functions using Batalin–Vilkovisky quantization. We perform detailed calculations in cubic braided scalar field theory up to two-loop order and three-point multiplicity. The divergent tadpole contributions are eliminated by a suitable choice of central curvature for the L-structure, and we confirm the absence of UV/IR mixing. The calculations of higher loop and higher multiplicity correlators in homological perturbation theory are facilitated by the introduction of a novel diagrammatic calculus. We derive an algebraic version of the Schwinger–Dyson equations based on the homological perturbation lemma, and use them to prove the braided Wick theorem.
Original languageEnglish
Article number2400169
JournalFortschritte der Physik
Volume72
Issue number11
Early online date26 Sept 2024
DOIs
Publication statusPublished - Nov 2024

Keywords

  • Schwinger–Dyson equations
  • braided BV quantization
  • correlation functions
  • scalar field theories

ASJC Scopus subject areas

  • General Physics and Astronomy

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