تقرير
Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
| العنوان: | Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories |
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| المؤلفون: | Sberveglieri, Giacomo, Spada, Gabriele |
| المصدر: | J. High Energ. Phys. 2024, 73 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Phenomenology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics, High Energy Physics - Phenomenology |
| الوصف: | Scalar field theories with quartic interactions are of central interest in the study of second-order phase transitions. For three-dimensional theories, numerous studies make use of the fixed-dimensional perturbative computation of [B. Nickel, D. Meiron, and G. Baker Jr, Compilation of 2-pt and 4-pt graphs for continuous spin model, University of Guelph report (1977)], unfortunately left unpublished. We independently verify the results of Nickel et al., and we extend the computation to the eighth order in the coupling constant. The results of our calculations, together with the tools developed, are made available in Phi4tools, a user-friendly package that allows displaying the information about the individual Feynman diagrams, including the numerical values for the diagrams for zero, two, and four-point functions. We also provide the perturbative series up to order eight for the renormalization-group functions for the $O(N)$ and cubic anisotropic models. Comment: v2: 30 pages, 6 figures; added figure 2 and section 2.7 plus other minor improvements. Matches published version. The package can be found at https://resources.wolframcloud.com/PacletRepository/resources/GSberveglieri/Phi4tools |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP05(2024)073 |
| URL الوصول: | http://arxiv.org/abs/2311.12576 |
| رقم الأكسشن: | edsarx.2311.12576 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP05(2024)073 |
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