Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
复制标题
N=1超对称Yang-Mills理论的磁畴壁费米子动力学模拟
DOI：
10.1103/physrevd.79.094503
复制
发表时间：
2009
影响因子：
5
通讯作者：
Michael G. Endres
中科院分区：
文献类型：
--
作者：
Michael G. Endres
我们提出的结果从$\mathcal{N}=1$超对称杨米尔斯理论使用畴壁费米子的数值研究。在这个特殊的晶格理论中，超对称性预计会意外地出现在连续谱和手征极限中，而不需要对算子进行任何微调。在${8}^{3}\ifmmode\times\else\texttimes\fi{}8$和${16}^{3}\ifmmode\times\else\texttimes\fi{}32$格点时空体积上，在三个不同的耦合值下，对规范群SU（2）$进行了动力学模拟：$\ensuremath{\beta}=2.3$、$2.35\overline{3}$和2.4。这项研究的结果包括静态势的测量，剩余质量，以及在$\ensuremath{\beta}=2.3$的旋光外推值。除此之外，我们研究了低的本征值和本征向量的5维厄米域壁费米子狄拉克运营商和目前的证据表明，在调查中的参数的选择，光谱的功能出现定性一致的强耦合和存在一个大的剩余质量。从五维本征值，我们探讨了使用银行卡舍关系，以确定一个独立的值的手征极限的胶子凝聚的可能性。
We present results from a numerical study of $\mathcal{N}=1$ supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral limits without any fine-tuning of operators. Dynamical simulations were performed for the gauge group $SU(2)$ on ${8}^{3}\ifmmode\times\else\texttimes\fi{}8$ and ${16}^{3}\ifmmode\times\else\texttimes\fi{}32$ lattice space-time volumes and at three different values of the coupling: $\ensuremath{\beta}=2.3$, $2.35\overline{3}$, and 2.4. Results from this study include measurements of the static potential, residual mass, and a chirally extrapolated value for the gluino condensate at $\ensuremath{\beta}=2.3$. In addition to these, we study the low-lying eigenvalues and eigenvectors of the five-dimensional Hermitian domain-wall fermion Dirac operator and present evidence that, for the choice of parameters under investigation, features of the spectrum appear qualitatively consistent with strong coupling and the presence of a large residual mass. From the five-dimensional eigenvalues we explore the possibility of using the Banks-Casher relation to determine an independent value for the gluino condensate in the chiral limit.