Lattice field theories

在项目的前两年，每个小组的参与者都组织了不同的关于晶格场理论的课题。主要研究结果如下：1)利用超大型并行超级计算机对晶格量子色动力学（QCD）进行了大规模蒙特卡罗模拟。研究了强子质量与基体元素、重夸克体系、QCD的有限温度跃迁。需要强调的是，Tsukuba小组阐明了Wilson费米子QCD的有限温度跃迁特征。2)采用蒙特卡罗模拟方法研究了晶格SU(2)和SU (3) QCD的单极子凝聚和色约束。金泽组和广岛组阐明了单极子的作用和单极子与瞬子的关系。提出了在对偶晶格上使用块自旋变换的新思路和新技术，并在单极子中发现了几乎重整化的轨迹。在过去的几年里，所有的基金用于组织汤川国际研讨会的非微扰QCD- QCD真空的结构-在京都大学理论物理研究所于1997年12月2日至12日。这个项目的许多参与者都参与了组委会。研讨会由50个长报告和38个短报告组成。此外，还组织了三个小时的讨论，内容涉及色约束与单极子和瞬子、重整化变换、强子物理。本次会议的注册人数为143人。

In the first two years, different topics on lattice field theories were studied in each group organized by the participants of this project. Main results are the following :1) Large-scale Monte-Carlo simulations using very large paralell super computers were done in the lattice quantum chromodynamics (QCD). Hadron masses and matrix elements, heavy quark system, finite-temperature transition of QCD were studied. It is to be emphasized that Tsukuba group has clarified the features of finite-temperature transition of QCD with Wilson fermions.2) Monopole condensation and color confinement were studied using Monte-Carlo simulations of lattice SU (2) and SU (3) QCD.The role of monopoles and the relation between monopoles and instantons were clarified by Kanazawa and Hiroshima groups. New idea and technique using block-spin transformation on the dual lattice were proposed and almost renormalized trajectory is found in terms of monopoles.In the last years, all the fund is devoted to organize Yukawa International Seminar on Non-perturbative QCD-Structure of the QCD vacuum- held at Institute of Theoretical physics at kyoto University from December 2 till December 12,1997.. Many members of the participants of this project were involved in the organizing commitee. The seminar is composed of 50 long talks and 38 short talks. In addition, three discussion hours were organized on color confinement and monopoles and instantons, renormalization transformation, hadron physics. The number of the total registered participants is 143.