论文标题
3D ISING模型:从形式的自举岛的视图
3D Ising Model: a view from the Conformal Bootstrap Island
论文作者
论文摘要
我们解释了如何使用共形场理论的公理来对三维连续相变的关键指数进行预测,该过程通过称为保形的自举操作。该方法假定相关函数的保形不变性,并在不同阶的相关函数之间施加了一些关系。数值分析表明,除非临界指数采用特定值,否则这些条件是不兼容的,或者更确切地说,它们必须属于参数空间中的一个小岛。
We explain how the axioms of Conformal Field Theory are used to make predictions about critical exponents of continuous phase transitions in three dimensions, via a procedure called the conformal bootstrap. The method assumes conformal invariance of correlation functions, and imposes some relations between correlation functions of different orders. Numerical analysis shows that these conditions are incompatible unless the critical exponents take particular values, or more precisely that they must belong to a small island in the parameter space.