Numerical simulation of the N=(2,2) Landau-Ginzburg model
Numerical simulation of the N=(2,2) Landau-Ginzburg model
复制标题
N=(2,2) Landau-Ginzburg 模型的数值模拟
DOI：
10.1016/j.nuclphysb.2011.09.007
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Hiroshi Suzuki
中科院分区：
文献类型：
--
作者：
Syo Kamata;Hiroshi Suzuki
采用动量截断正则化方法，数值研究了具有立方超势的二维Wess-Zumino（WZ）模型。一个数值算法的基础上的尼古拉地图和由此产生的配置没有自相关。这个系统被认为是流到一个超共形场理论（SCFT）在红外（IR），模型。通过对WZ模型中标量场磁化率的有限尺度标度分析，我们确定了共形维数和$\Bar{h}$的$1-h-\Bar{h}=0.616（25）（13）$，而$1-h-\Bar{h}=0.666.$ for themodel.我们还从守恒超流之间的关联函数测量了红外区的中心电荷，并得到了（对于模型）。这些结果与模型的出现是一致的，同时也表明，数值研究可以补充这种二维超对称场论的分析研究。
The two-dimensionalWess-Zumino (WZ) model with a cubic superpotential is numerically studied with a momentum-cutoff regularization that preserves supersymmetry. A numerical algorithm based on the Nicolai map is employed and the resulting configurations have no autocorrelation. This system is believed to flow to ansuperconformal field theory (SCFT) in the infrared (IR), themodel. From a finite-size scaling analysis of the susceptibility of the scalar field in the WZ model, we determine $1-h-\Bar{h}=0.616(25)(13)$ for the conformal dimensionsand $\Bar{h}$, while $1-h-\Bar{h}=0.666...$ for themodel. We also measure the central charge in the IR region from a correlation function between conserved supercurrents and obtain(for themodel). These results are consistent with the conjectured emergence of themodel, and at the same time demonstrate that numerical studies can be complementary to analytical investigations for this two-dimensional supersymmetric field theory.