BV quantization of $\phi^3$-theory on $\lambda$-Minkowski space: Tree-level correlation functions

Djordje Bogdanović; Marija Dimitrijević Ćirić; Stefan Djordjević; Richard J. Szabo

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arXiv · 2604.28114

BV quantization of $\phi^3$-theory on $\lambda$-Minkowski space: Tree-level correlation functions

Djordje Bogdanović·Marija Dimitrijević Ćirić·Stefan Djordjević·Richard J. Szabo

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Abstract

We review the quantization of scalar field theory on $\lambda$-Minkowski space using the Batalin--Vilkovisky (BV) formalism. We consider $\phi^3$-theory in two different quantization schemes: standard and braided. While standard BV quantization is based on an ordinary $L_\infty$-algebra, braided BV quantization is based on a braided $L_\infty$-algebra. We compare the tree-level three-point and four-point correlation functions in the two approaches. For the four-point function, standard quantization leads to two inequivalent classes of diagrams with different noncommutative contributions, whereas braided quantization yields only a single class of diagrams with noncommutativity entering solely through an overall phase factor depending on the external momenta.

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Djordje Bogdanović, Marija Dimitrijević Ćirić, Stefan Djordjević, Richard J. Szabo. 2026-04-30. BV quantization of $\phi^3$-theory on $\lambda$-Minkowski space: Tree-level correlation functions. https://arxiv.org/abs/2604.28114

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