RG flow from ϕ4 theory to the 2D Ising model
RG flow from ϕ4 theory to the 2D Ising model
复制标题
从 phi4 理论到 2D Ising 模型的 RG 流
DOI：
10.1007/jhep08(2017)056
复制
发表时间：
2017
影响因子：
5.4
通讯作者：
Matthew T. Walters
中科院分区：
文献类型：
--
作者：
N. Anand;Vincent X. Genest;E. Katz;Zuhair U. Khandker;Matthew T. Walters
本文利用最近提出的保角截断方法研究了1+ 1维N_4理论。本文从自由场理论的紫外连续傅里叶变换出发，构造了一个具有确定共形Casimir的完备态基。我们用这些态来表示光锥量子化中完全相互作用理论的哈密顿量。截断后的状态，我们数值对角化的哈密顿在强耦合和研究所产生的IR动力学。我们计算非微扰谱密度的几个本地运营商，这是相当于实时，无限体积的相关函数。这些谱密度，其中包括Zamolodchikov C-函数沿着整个RG流，是计算在任何值的耦合。在临界附近，我们的数值结果再现了二维伊辛模型中的关联函数。
We study 1+ 1 dimensional ϕ 4 theory using the recently proposed method of conformal truncation. Starting in the UV CFT of free field theory, we construct a complete basis of states with definite conformal Casimir,. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with, we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute non-perturbative spectral densities of several local operators, which are equivalent to real-time, infinite-volume correlation functions. These spectral densities, which include the Zamolodchikov C-function along the full RG flow, are calculable at any value of the coupling. Near criticality, our numerical results reproduce correlation functions in the 2D Ising model.
3d Ising 的关键指数和共形引导的相关模型
影响因子：
5.4
作者：
Gliozzi F
通讯作者：
Gliozzi F