BV quantization of braided scalar field theory
| Autor: | Bogdanović, Djordje, Ćirić, Marija Dimitrijević, Radovanović, Voja, Szabo, Richard J. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided $L_\infty$-structures and the Batalin-Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its quantization using braided homological perturbation theory. The formalism is illustrated through one-loop calculations of the two-point functions for $\phi^4$-theory in four dimensions and $\phi^3$-theory in six dimensions. In both cases we find that there are no non-planar diagrams and no UV/IR mixing. Comment: 22 pages, 4 figures; Contribution to the Proceedings of the Workshop on "Noncommutative and generalized geometry in string theory, gauge theory and related physical models", Corfu Summer Institute on Elementary Particle Physics and Gravity, 28 August-1 October 2022, Corfu, Greece. arXiv admin note: text overlap with arXiv:2302.10713 |
| Databáze: | arXiv |
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