论文标题
将紫外线注入引导程序：伊辛字段理论
Injecting the UV into the Bootstrap: Ising Field Theory
论文作者
论文摘要
我们将S-Matrix Bootstrap程序中的最新发展合并在一起，以在2个时空维度中开发双重设置，其中包含了大量粒子的散射幅度和本地运算符的矩阵元素。特别是，应力能量张量使我们能够根据中心电荷对IR可观察到的UV限制，以$ c_ {uv} $的uv综合场理论理论。我们考虑两个应用程序：（1）我们在IR中的$ \ Mathbb {z} _2 $对称标量理论的$ c_ {uv} $上建立了严格的下限（包括$ ϕ^4 $）; （2）我们首先将$ c_ {uv} $最小化，以最大程度地减少磁场的不同值，其次，通过确定固定$ c_ {uv} = 1/2 $的立方耦合的允许范围和一个固定$ c_ {uv}的单粒子形式因子。
We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the stress energy tensor allows us to input UV constraints on IR observables in terms of the central charge $c_{UV}$ of the UV Conformal Field Theory. We consider two applications: (1) We establish a rigorous lower bound on $c_{UV}$ of a class of $\mathbb{Z}_2$ symmetric scalar theories in the IR (including $ϕ^4$); (2) We target Ising Field Theory by, first, minimizing $c_{UV}$ for different values of the magnetic field and, secondly, by determining the allowed range of cubic coupling and one-particle form-factor for fixed $c_{UV} = 1/2$ and magnetic field.
