$\mathrm{U}(N)$-张量模型的相关函数及其 Schwinger-Dyson 方程
数学物理
2021-10-04 v3 math.MP
摘要
我们分析了 -张量模型（或复张量模型）的相关函数，事实证明这些函数可由边界图分类；我们利用 Ward-Takahashi 恒等式和 [Commun. Math. Phys. (2018) 358: 589] 中发展的图演算，推导了具有连通边界图的相关函数的完整精确解析 Schwinger-Dyson 方程塔。我们明确写出了秩 和 的情形。全文遵循张量（群）场论的非微扰方法。我们提议将此方案扩展至 Gurau-Witten 模型，这是一种基于 Sachdev-Ye-Kitaev 模型 (SYK 模型) 的全息张量模型。
引用
@article{arxiv.1706.07358,
title = {Correlation functions of $\mathrm{U}(N)$-tensor models and their Schwinger-Dyson equations},
author = {Romain Pascalie and Carlos I. Pérez-Sánchez and Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:1706.07358},
year = {2021}
}
备注
v2. 50 pages, 7 TikZ-figures and TikZ graph theory. R. Pascalie added as co-author (see page 17). v3 coincides with v2 modulo the abstract (the breve \u{a} in "Gur\{u}au" has been removed, to make it searchable; "graph calculus" added) and metadata-title ("coloured" replaced by the modern terminology)