Academic Journal
Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model
| العنوان: | Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model |
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| المؤلفون: | N. Amburg, H. Itoyama, Andrei Mironov, Alexei Morozov, D. Vasiliev, R. Yoshioka |
| المصدر: | European Physical Journal C: Particles and Fields, Vol 80, Iss 5, Pp 1-5 (2020) |
| بيانات النشر: | SpringerOpen, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Astrophysics LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| مصطلحات موضوعية: | Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: | Abstract A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theory $$\mathbf{Th}_1$$ Th1 with singlet operators in another one $$\mathbf{Th}_2$$ Th2 having an additional $$U(\mathcal{N})$$ U(N) symmetry and is illustrated by the case where $$\mathbf{Th}_1$$ Th1 and $$\mathbf{Th}_2$$ Th2 are respectively the rank $$r-1$$ r-1 and the rank r complex tensor model. The values of FD in $$\mathbf{Th}_1$$ Th1 agree with the large $$\mathcal{N}$$ N limit of the Gaussian average of those operators in $$\mathbf{Th}_2$$ Th2 . The recursive shift in rank by this FD functor converts numbers into vectors, then into matrices, then into rank 3 tensors and so on. This FD functor can straightforwardly act on the d dimensional tensorial quantum field theory (QFT) counterparts as well. In the case of rank 2-rank 3 correspondence, it can be combined with the geometrical pictures of the dual of the original FD, namely, equilateral triangulations (Grothendieck’s dessins d’enfant) to form a triality which may be regarded as a bulk-boundary correspondence. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1434-6044 1434-6052 |
| Relation: | http://link.springer.com/article/10.1140/epjc/s10052-020-8013-8; https://doaj.org/toc/1434-6044; https://doaj.org/toc/1434-6052 |
| DOI: | 10.1140/epjc/s10052-020-8013-8 |
| URL الوصول: | https://doaj.org/article/cbbd034714674a5eb3de2f58e5f22416 |
| رقم الانضمام: | edsdoj.bbd034714674a5eb3de2f58e5f22416 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 14346044 14346052 |
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| DOI: | 10.1140/epjc/s10052-020-8013-8 |