论文标题
迈向具有弱耦合弦理论双重偶联的3D ISING模型
Toward a 3d Ising model with a weakly-coupled string theory dual
论文作者
论文摘要
长期以来，人们一直期望3D ISING模型可以被视为弦理论，其中人们可以解释将旋转与向下旋转分为二维字符串世界表的域墙。通常的Ising Hamiltonian测量了这些域壁的面积。该理论具有单位幅度的字符串耦合。我们将新的本地术语添加到Ising Hamiltonian中，该术语会根据相应域墙的属进一步加权每个自旋配置，从而产生一个新的3D ISING模型，该模型具有可调的裸字符串耦合$ g_s $。我们使用分析方法和数值方法的组合来分析该模型的相结构，因为$ g_s $是不同的。我们研究世界表拓扑的统计特性，并讨论在弱弦耦合下使用这种新变形的前景，以找到3D ISING过渡的世界表格描述。
It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures the area of these domain walls. This theory has string coupling of unit magnitude. We add new local terms to the Ising Hamiltonian that further weight each spin configuration by a factor depending on the genus of the corresponding domain wall, resulting in a new 3d Ising model that has a tunable bare string coupling $g_s$. We use a combination of analytical and numerical methods to analyze the phase structure of this model as $g_s$ is varied. We study statistical properties of the topology of worldsheets and discuss the prospects of using this new deformation at weak string coupling to find a worldsheet description of the 3d Ising transition.
