Braided scalar quantum field theory

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

Research output: Working paperPreprint

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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
Publication statusPublished - 4 Jun 2024


  • hep-th
  • math-ph
  • math.MP
  • math.QA


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