论文标题
远程订单进行关键的书研究和书籍渗透
Long-range order for critical Book-Ising and Book-percolation
论文作者
论文摘要
在本文中，我们研究了统计物理模型的行为，这些书籍的书籍具有同构至半平面。我们表明，即使对于在$ \ mathbb z^2 $上进行连续相变的模型，一旦页面数量足够大，相转换也会不连续。特别是，我们证明三页书上的伊辛模型具有不连续的相变（如果一个人允许自己考虑沿着页面上的线路沿线的大型耦合常数）。 我们的工作证实了理论物理学中的预测，这些预测依赖于重新归一化组，保形场理论和数字（[[CAR91，ITB91，SMP10]）），其中一些是通过对某些量子自旋系统的Renyi熵的分析来激励的。
In this paper, we investigate the behaviour of statistical physics models on a book with pages that are isomorphic to half-planes. We show that even for models undergoing a continuous phase transition on $\mathbb Z^2$, the phase transition becomes discontinuous as soon as the number of pages is sufficiently large. In particular, we prove that the Ising model on a three pages book has a discontinuous phase transition (if one allows oneself to consider large coupling constants along the line on which pages are glued). Our work confirms predictions in theoretical physics which relied on renormalization group, conformal field theory and numerics ([Car91,ITB91,SMP10]) some of which were motivated by the analysis of the Renyi entropy of certain quantum spin systems.
