论文标题
磁场中的2D ISING场理论：Yang-Lee奇异性
2D Ising Field Theory in a Magnetic Field: The Yang-Lee Singularity
论文作者
论文摘要
我们研究了纯假想的外部磁场中的Ising场理论（在Curie临界点附近的Ising模型的缩放限制）。我们特别强调了杨利边缘奇点的详细结构。虽然领先的奇异行为由Yang-Lee固定点（$ = $ = $ = $ = $ = $ = $ =最小CFT $ {\ cal m} _ {2/5} $），但二级单数术语的精细结构取决于涉及无关算子塔的有效动作。我们使用通过“截短的自由费用空间方法”获得的数值数据来估计与两个最不相关的操作员相关的耦合。一个是操作员$ t {\ bar t} $，我们使用$ t {\ bar t} $变形的通用属性来修复相应的耦合参数$α$中较高订单的贡献。我们处理的另一个无关的操作员是后代$ l _ { - 4} {\ bar l} _ { - 4} ϕ $ in $ {\ cal m} _ {\ cal m} _ {2/5} $的主$ ϕ $的$。该操作员的意义在于，它是最低的维度运算符，它破坏了有效理论的整合性。我们还建立了粒子质量$ m $（$ = $ inverse相关长度）的分析性能作为复杂磁场的函数。
We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee fixed point ($=$ minimal CFT ${\cal M}_{2/5}$), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the "Truncated Free Fermion Space Approach" to estimate the couplings associated with two least irrelevant operators. One is the operator $T{\bar T}$, and we use the universal properties of the $T{\bar T}$ deformation to fix the contributions of higher orders in the corresponding coupling parameter $α$. Another irrelevant operator we deal with is the descendant $L_{-4}{\bar L}_{-4}ϕ$ of the relevant primary $ϕ$ in ${\cal M}_{2/5}$. The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass $M$ ($=$ inverse correlation length) as the function of complex magnetic field.
