Exact Lattice Supersymmetry: the Two-Dimensional N = 2 Wess-Zumino Model
Exact Lattice Supersymmetry: the Two-Dimensional N = 2 Wess-Zumino Model
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精确晶格超对称性：二维 N = 2 Wess-Zumino 模型
DOI：
10.1103/physrevd.65.094501
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发表时间：
2001
影响因子：
5
通讯作者：
S. Karamov
中科院分区：
文献类型：
--
作者：
S. Catterall;S. Karamov
本文研究了二维Wess-Zumino模型在格点上的扩展$N=2$超对称性。我们选择的格点处方具有在有限格点间距a处精确保持单个超对称不变性的优点。此外，我们构造了格场的另外三个变换，在这些变换下格作用量的变化为0（g），其中g是一个典型的相互作用耦合.这四个变换对应于连续统理论的两个马约拉纳超荷。我们还推导出格沃德身份对应于这些精确和近似对称。我们使用动力学费米子模拟检查的玻色子和费米子部门的质量差距的平等，并检查晶格沃德身份。至少对于弱耦合，我们没有看到与晶格作用中缺乏反射正性相关的问题，并且与理论吻合得很好。在强耦合，我们提供的证据表明，与缺乏反射积极性的问题是回避足够小的晶格间距。
We study the two-dimensional Wess-Zumino model with extended $N=2$ supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving exactly a single supersymmetric invariance at finite lattice spacing a. Furthermore, we construct three other transformations of the lattice fields under which the variation of the lattice action vanishes to ${O(ga}^{2})$ where g is a typical interaction coupling. These four transformations correspond to the two Majorana supercharges of the continuum theory. We also derive lattice Ward identities corresponding to these exact and approximate symmetries. We use dynamical fermion simulations to check the equality of the mass gaps in the boson and fermion sectors and to check the lattice Ward identities. At least for weak coupling we see no problems associated with a lack of reflection positivity in the lattice action and find good agreement with theory. At strong coupling we provide evidence that problems associated with a lack of reflection positivity are evaded for small enough lattice spacing.