Approaching the conformal window of O(n)×O(m) symmetric Landau-Ginzburg models using the conformal bootstrap
Approaching the conformal window of O(n)×O(m) symmetric Landau-Ginzburg models using the conformal bootstrap
复制标题
使用共形自举逼近 O(n)×O(m) 对称 Landau-Ginzburg 模型的共形窗口
DOI：
10.1103/physrevd.89.126009
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发表时间：
2014
影响因子：
5
通讯作者：
Tomoki Ohtsuki
中科院分区：
文献类型：
--
作者：
Yu Nakayama;Tomoki Ohtsuki
对称朗道-金兹堡模型维度具有丰富的重整化群结构，这为非线性共线性受挫自旋模型的相图提供了理论预测。在相同的通用性类中，它们可以显示手性/反手性/海森堡/高斯不动点。通过检验标量算子和具有一致性交叉检验的非保守的电流算子的共形维的界，我们逼近了共形自举程序中的所有不动点。在较大的情况下，通过将共形自举程序得到的算子谱与大分析得到的算子谱进行比较，证明了四个不动点的存在性。我们提出了一种新的基于共形自举程序的非摄动方法来确定这些模型中的共形窗口。从我们的数值结果中，我们预测，为反手性不动点的共形窗口边缘。
symmetric Landau-Ginzburg models indimensions possess a rich structure of the renormalization group, which offers a theoretical prediction of the phase diagram in frustrated spin models with noncollinear order. Depending onand, they may show chiral/antichiral/Heisenberg/Gaussian fixed points within the same universality class. We approach all the fixed points in the conformal bootstrap program by examining the bound on the conformal dimensions for scalar operators as well as nonconserved current operators with consistency cross-checks. For large, we show strong evidence for the existence of four fixed points by comparing the operator spectrum obtained from the conformal bootstrap program with that from the large-analysis. We propose a novel nonperturbative approach to the determination of the conformal window in these models based on the conformal bootstrap program. From our numerical results, we predict that for,is the edge of the conformal window for the antichiral fixed points.