Numerical study of the N=2 Landau-Ginzburg model
Numerical study of the N=2 Landau-Ginzburg model
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N=2 Landau-Ginzburg 模型的数值研究
DOI：
10.1093/ptep/pty088
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发表时间：
2018
影响因子：
3.5
通讯作者：
Suzuki Hiroshi
中科院分区：
文献类型：
--
作者：
Morikawa Okuto;Suzuki Hiroshi
我们认为，在红外极限下，二维无质量Wess-Zumino模型成为量子共形场论（SCFT）。我们研究这个理论猜想的Landau-Ginzburg（LG）描述的SCFT的数值模拟的基础上的supercrucic-invariant动量截断正则化。我们研究了具有三次和四次超势的单个超多重态。从红外区的两点关联函数，我们测量了标度维数和中心电荷，它们分别与和最小模型的简化LG描述一致。我们的结果支持了理论猜想，同时也为从LG描述计算SCFT中的相关函数提供了一种可能的方法。
It is believed that the two-dimensional masslessWess–Zumino model becomes thesuperconformal field theory (SCFT) in the infrared (IR) limit. We examine this theoretical conjecture of the Landau–Ginzburg (LG) description of theSCFT by numerical simulations on the basis of a supersymmetric-invariant momentum-cutoff regularization. We study a single supermultiplet with cubic and quartic superpotentials. From two-point correlation functions in the IR region, we measure the scaling dimension and the central charge, which are consistent with the conjectured LG description of theandminimal models, respectively. Our result supports the theoretical conjecture and, at the same time, indicates a possible computational method of correlation functions in theSCFT from the LG description.