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 language | English |
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Article number | 2400169 |
Journal | Fortschritte der Physik |
Volume | 72 |
Issue number | 11 |
Early online date | 26 Sept 2024 |
DOIs | |
Publication status | Published - Nov 2024 |
Keywords
- Schwinger–Dyson equations
- braided BV quantization
- correlation functions
- scalar field theories
ASJC Scopus subject areas
- General Physics and Astronomy