论文标题
离散的高斯模型，ii。高温下的无限体积缩放限制
The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature
论文作者
论文摘要
离散的高斯模型是晶格高斯游离场，条件是可被估算的。在两个维度上，在足够高的温度下，我们表明，均值为零的无限 - 体积梯度gibbs状态的缩放极限是高斯自由场的倍数。 本文是关于离散高斯模型的系列中的第二篇，它通过分析一般外部字段（而不是圆环上的宏观测试函数）扩展了第一篇论文的方法。作为副产品，我们还获得了圆环上介质测试功能的缩放限制。
The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-valued. In two dimensions, at sufficiently high temperature, we show that the scaling limit of the infinite-volume gradient Gibbs state with zero mean is a multiple of the Gaussian free field. This article is the second in a series on the Discrete Gaussian model, extending the methods of the first paper by the analysis of general external fields (rather than macroscopic test functions on the torus). As a byproduct, we also obtain a scaling limit for mesoscopic test functions on the torus.
