Development of Research on the Standard Model on the Lattice using the Massively Parallel Computer CP-PACS

本研究计划的目标是利用CP-PACS计算机的高计算能力，以显著地提高使用QCD格式的标准模型的非充分性方面的研究。具体来说，我们集中在以下主题上：（i）为了在quenced晶格QCD中获得精确的光哈龙光谱，我们用标准的广场诱饵行动和威尔逊夸克行动使用大型晶格和高统计数据进行了广泛的模拟。就第一次而言，我们清楚地展示了从实验中流出的闪烁光暗光谱约10%的距离到闪烁的近似值。（ii）从一个完整的GCD和两个光动态夸克使用改进的动作的系统研究中，我们展示了Hadron光谱变得比实验更接近的近似。所有QCD中的光夸克质量的价值比QCD中的那些小20- 30%。B和B我的衰落常数 ... More 儿子，在弱互动的研究中，哪一项重要性在QCD中占比要大约10%。在连续限制中的中间质量接近实验，建议U（1）问题在QCD中得到解决。（iii）我们研究了使用相同改进的操作（ii）中QCD状态的过渡和equation。为了纯粹的凝胶理论，我们发现了一个状态等同于连续限制的情况，它被采用了标准行动，并证明了我们方法的高度可靠性。这项工作已扩展到完整的QCD与两个夸克口味。该阶段结构被解释了，状态的等式被计算为N-D2 t-D2 = 4晶格。（iv） Domain-Wall QCD提供了一个可能性，以解决晶格夸克的传统格式中断手性对称性的问题。作为实现其可行性的第一步，我们研究了手性属性作为形式主义各种参数的功能。我们找到了一个精确的手性对称性，可以很好地适应于粗糙的晶格，但形式主义在粗糙的晶格上不起作用。这是一个改进的恶作剧动作表演了改进的手性对称性。这项工作现已扩展到与CP破坏研究相关的物理矩阵元素的计算。Less（低）

This research program aimed to exploit the high computational power of the CP-PACS computer for significantly advancing the study of the non-perturbative aspects of the Standard Model using the lattice formulation of QCD. Specifically, we concentrated on the following subjects :(i) To obtain precise light hadron spectrum in quenced lattice QCD, we carried out an extensive simulation with the standard plaquette gauge action and the Wilson quark action employing large lattices and high statistics. For the first time, we clearly showed that the quenched light hadron spectrum deviates from the experiment by about 10% due to the quenched approximation.(ii) From a systematic study of full GCD with two flavors of light dynamical quarks using an improved action, we showed that the hadron spectrum becomes much closer to experiment than the quenched approximation. The values for light quark masses from full QCD are 20-30% smaller than those in the quenched QCD. The decay constant for B and Bs me … More sons, which are important in a study of the weak interaction, is larger by about 10% in full QCD. The η' meson mass in the continuum limit is close to the experiment, suggesting that the U(1) problem is solved in QCD.(iii) We studied the finite-temperature phase transition and equation of state of QCD using the same improved action as employed in (ii). For the pure gluon theory, we found that the equation of state in the continuum limit agrees well with that obtained with the standard action, demonstrating high reliability of our methods. This work has been extended to full QCD with two flavors of quarks. The phase structure was explored and the equation of state was calculated on an NィイD2tィエD2 = 4 lattice.(iv) Domain-wall QCD offers a possibility to resolve the problem of broken chiral symmetry in the conventional formulations of lattice quarks. As a first step to establish its viability, we studied chiral properties as a function of various parameters of the formalism. We found that exact chiral symmetry is realized for sufficiently fine lattices, while the formalism does not work on coarse lattices. Here, an improved gauge action shows improved chiral symmetry. Work is now extended to calculations of physical matrix elements relevant for CP violation studies. Less