BV quantization of $ϕ^3$-theory on $λ$-Minkowski space: Tree-level correlation functions
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866909005167722496 |
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| author | Bogdanović, Djordje Ćirić, Marija Dimitrijević Djordjević, Stefan Szabo, Richard J. |
| author_facet | Bogdanović, Djordje Ćirić, Marija Dimitrijević Djordjević, Stefan Szabo, Richard J. |
| contents | We review the quantization of scalar field theory on $λ$-Minkowski space using the Batalin--Vilkovisky (BV) formalism. We consider $ϕ^3$-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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_28114 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | BV quantization of $ϕ^3$-theory on $λ$-Minkowski space: Tree-level correlation functions Bogdanović, Djordje Ćirić, Marija Dimitrijević Djordjević, Stefan Szabo, Richard J. High Energy Physics - Theory Mathematical Physics We review the quantization of scalar field theory on $λ$-Minkowski space using the Batalin--Vilkovisky (BV) formalism. We consider $ϕ^3$-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. |
| title | BV quantization of $ϕ^3$-theory on $λ$-Minkowski space: Tree-level correlation functions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.28114 |