A lattice study of N = 2 Landau-Ginzburg model using a Nicolai map
A lattice study of N = 2 Landau-Ginzburg model using a Nicolai map
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使用 Nicolai 映射的 N = 2 Landau-Ginzburg 模型的格子研究
DOI：
10.1103/physrevd.83.074502
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Y. Kikukawa
中科院分区：
文献类型：
--
作者：
H. Kawai;Y. Kikukawa
It has been conjectured that the two-dimensional N=2 Wess-Zumino model with a quasihomogeneous superpotential provides the Landau-Ginzburg description of the N=2 superconformal minimal models. For the cubic superpotential W={lambda}{Phi}{sup 3}/3, it is expected that the Wess-Zumino model describes A{sub 2} model and the chiral superfield {Phi} shows the conformal weight (h,h)=(1/6,1/6) at the IR fixed point. We study this conjecture by a lattice simulation, extracting the weight from the finite volume scaling of the susceptibility of the scalar component in {Phi}. We adopt a lattice model with the overlap fermion, which possesses a Nicolai map and a discrete R-symmetry. We set a{lambda}=0.3 and generate the scalar field configurations by solving the Nicolai map on LxL lattices in the range L=18-32. To solve the map, we use the Newton-Raphson algorithm with various initial configurations. The result is 1-h-h=0.660{+-}0.011, which is consistent with the conjecture within the statistical error, while a systematic error is estimated as less than 0.5%.
