论文标题
超对称杨的调查 - 磨坊理论
Investigations of supersymmetric Yang--Mills theories
论文作者
论文摘要
我们从三个和四个时空维度中的超对称杨（Sym）理论进行了晶格研究中提出了新的结果。首先考虑具有$ Q = 16 $的最大超对称3D理论，我们检查了费米昂Pfaffian近似真实且积极的，验证了相位猝灭的RHMC计算。然后，使用基于Creutz比率的简单方案，我们对$ Q = 16 $ sym的运行耦合和非扰动$β$函数进行晶格研究。最后，我们将3D SYM与$ Q = 8 $ supercharges一起考虑，开发新软件是迈向超对称QCD的第一步。
We present new results from ongoing lattice investigations of supersymmetric Yang--Mills (SYM) theories in three and four space-time dimensions. First considering the maximally supersymmetric 3d theory with $Q = 16$ supercharges, we check that the fermion pfaffian is approximately real and positive, validating phase-quenched RHMC calculations. We then initiate lattice studies of running couplings and non-perturbative $β$ functions for $Q = 16$ SYM in both 3d and 4d, using a simple scheme based on Creutz ratios. Finally, we consider 3d SYM with $Q = 8$ supercharges, developing new software as a first step towards supersymmetric QCD.
