arXiv 0811.28512008-11hep-lathep-th

二维$\mathcal{N}=(2,2)$超对称Yang-Mills理论的某些物理：格子Monte Carlo研究

Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study

Issaku Kanamori, Hiroshi Suzuki

备注：: 13 pages, 5 figures, uses elsart.cls, the final version to appear in Phys. Lett. B
发表信息：: Phys.Lett.B672:307-311,2009
DOI：: 10.1016/j.physletb.2009.01.039

摘要：

我们举例说明了二维$\mathcal{N}=(2,2)$超对称SU（2）Yang-Mills理论的晶格公式的一些物理应用。两个方面，某些关联函数（这意味着不存在的质量间隙）和探针电荷之间的静电势$V(R)$的基本表示，功率样的行为被认为是。对于后者，对于$R\lesssim1/g$，我们观察到一个线性的限制潜力与有限的弦张力。这种限制行为似乎不同于理论上的猜想，即基本表象中的探测电荷在具有伴随无质量费米子的二维规范理论中被屏蔽，尽管$R\gtrsim1/g$的静态势必须被系统地探索以得出大距离下的真实渐近行为。

英文摘要：

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of certain correlation functions (which implies the absence of the mass gap) and the static potential $V(R)$ between probe charges in the fundamental representation, are considered. For the latter, for $R\lesssim1/g$, we observe a linear confining potential with a finite string tension. This confining behavior appears distinct from a theoretical conjecture that a probe charge in the fundamental representation is screened in two-dimensional gauge theory with an adjoint massless fermion, although the static potential for $R\gtrsim1/g$ has to be systematically explored to conclude real asymptotic behavior in large distance.

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