تقرير
Braided scalar quantum field theory
| العنوان: | Braided scalar quantum field theory |
|---|---|
| المؤلفون: | Bogdanović, Djordje, Ćirić, Marija Dimitrijević, Radovanović, Voja, Szabo, Richard J., Trojani, Guillaume |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Mathematics - Quantum Algebra |
| الوصف: | We formulate scalar field theories in a curved braided $L_\infty$-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 $L_\infty$-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. Comment: 41 pages; v2: typos corrected; v3: minor changes and typos fixed |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.02372 |
| رقم الأكسشن: | edsarx.2406.02372 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |