论文标题
二维$ Q $ - 状态POTTS模型中的四点几何相关函数：与RSOS模型的连接
Four-point geometrical correlation functions in the two-dimensional $Q$-state Potts model: connections with the RSOS models
论文作者
论文摘要
后来在[Arxiv：1607.07224]中提出的二维POTTS模型中几何相关函数的“引导性测定”后来在[ARXIV：1809.02191]中显示为不正确，该模型的实际频谱比初始构思更为复杂。我们在本文中提供了对[ARXIV：1607.07224]中构建的四点函数的几何解释，并解释了为什么这些作者获得的结果（尽管不正确，但似乎都与Potts模型的数值模拟的结果如此接近。我们的策略基于RSOS最小模型中相关函数的群集扩展，以及随后对相应的$ S $ channel频谱的数值和代数分析，与我们在Potts模型上的早期工作完全类似于[Arxiv：1809.02191]。发现了晶格振幅的显着特性，特别是解释了[Arxiv：1809.02191]频谱与更简单的RSOS模型的截断，并将在即将出版的论文中使用，以最终确定Potts模型本身的几何四点功能。
The "bootstrap determination" of the geometrical correlation functions in the two-dimensional Potts model proposed in a paper [arXiv:1607.07224] was later shown in [arXiv:1809.02191] to be incorrect, the actual spectrum of the model being considerably more complex than initially conjectured. We provide in this paper a geometrical interpretation of the four-point functions built in [arXiv:1607.07224], and explain why the results obtained by these authors, albeit incorrect, appeared so close to those of their numerical simulations of the Potts model. Our strategy is based on a cluster expansion of correlation functions in RSOS minimal models, and a subsequent numerical and algebraic analysis of the corresponding $s$-channel spectrum, in full analogy with our early work on the Potts model [arXiv:1809.02191]. Remarkable properties of the lattice amplitudes are uncovered, which explain in particular the truncation of the spectrum of [arXiv:1809.02191] to the much simpler one of the RSOS models, and which will be used in a forthcoming paper to finally determine the geometric four-point functions of the Potts model itself.
