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Braided Scalar Quantum Field Theory
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DOI：10.1002/prop.202400169.png)
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Abstract
En 中文
We formulate scalar field theories in a curved braided L infinity$L_\infty$-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 infinity$L_\infty$-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.
Keywords:
braided BV quantization
correlation functions
scalar field theories
Schwinger-Dyson equations
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