Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model
Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model
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DOI：
10.1140/epjc/s10052-020-8013-8
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发表时间：
2019-11
期刊：
影响因子：
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通讯作者：
N. Amburg;N. Amburg;H. Itoyama;A. Mironov;A. Morozov;D. Vasiliev;D. Vasiliev;R. Yoshioka
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文献类型：
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作者：
N. Amburg;N. Amburg;H. Itoyama;A. Mironov;A. Morozov;D. Vasiliev;D. Vasiliev;R. Yoshioka
本文指出了微扰量子场论中一种新的函子关系，它把一种理论中没有外线的费曼图（FD）与另一种理论中具有附加对称性的单重态算符联系起来，并以和分别为秩和秩复张量模型的情形加以说明. FD的值不符合这些算子的高斯平均的大限。这个FD函子的递归秩移位将数转化为向量，然后转化为矩阵，然后转化为秩3张量，以此类推，这个FD函子也可以直接作用于一维张量量子场论（QFT）的对应物。在秩2-秩3对应的情况下，它可以与原始FD的对偶的几何图像，即等边三角剖分（Grothendieck'sdessins d' enfant）相结合，以形成可以被视为体边界对应的triality。
A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theorywith singlet operators in another onehaving an additionalsymmetry and is illustrated by the case whereandare respectively the rankand the rankrcomplex tensor model. The values of FD inagree with the largelimit of the Gaussian average of those operators in. The recursive shift in rank by thisFD functorconverts numbers into vectors, then into matrices, then into rank 3 tensors and so on. ThisFD functorcan straightforwardly act on theddimensional 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’sdessins d’enfant) to form a triality which may be regarded as a bulk-boundary correspondence.