Perfect action on the lattice

格子上的完美动作

基本信息

批准号：
07640411
负责人：
MIYAMURA Osamu
金额：
$ 1.47万
依托单位：
HIROSHIMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640411/
关键词：
quantum chromodynamics lattice gauge simulation scaling gluon gauge theory perfect action improved action high performance computing 格子QCD 数値シミュレーションクオーク・ハドロン連続極限

项目摘要

Purpose of this investigation is to find lattice gauge actions which enable us to maake precise estimates for physical properties of strongly interacting elementary particles by numerical simulation. A basic idea for this investigation is to find a invariant action with respect to scale transformation. For this purpose, in 1995 and 1996, coupling flow and renormalized trajectory in 2-dmensional space (1x1 and 1x2 loop coupling) has been studied by blocking technique and Schwinger-Dyson method to determine renormalization effects to the couplings. As results of a series of numerical analysis, gross feature of coupling flow and a part of the renormalized trajectory has been clarified. In 1997, studies have been continued based on those results. In order to examine truncation effect on the 2-dimensional renormalization trajectory, flow analyzes have been made in 3-dimensional space where twist loop coupling has been included. It turned out that renormalization effect for twist coupling is … More small if flow starts near the 2-dimensional renormalization trajectory. This result has suggested that actions near the 2-dimensional renormalization trajectory is enough improved and practically useful one from a view point of computational cost. Restoration of rotational symmetry and week dependence of ratio of physical quantities on lattice constant were examined for the 2-loop coupling action near the renormalization trajectory. A preliminary study has indicated that the action shows much better restoration of rotational symmetry in comparison with Symanzik's action and Iwasaki's action as well as Wilson's one. As for the dependence of ratio between string tension and transition temperature squared, it is as good as Iwasaki's action. Further extensive examination will be required as the next step. A MPI (Message Passing Interface) program for gauge field generation on parallel processor has been developed in course of the investigation. It is designed for large scale lattice QCD simulation on currently available massively parallel computers. Less

这项投资的目的是找到晶格计的作用，使我们能够通过数值模拟对强烈相互作用的基本粒子的物理性质进行精确估计。这项投资的一个基本思想是在规模转型方面找到不变的动作。为此，在1995年和1996年，通过阻止技术和Schwinger-dyson方法，已经研究了2秒空间（1x1和1x2回路耦合）中的耦合流量和重新归一化的轨迹，以确定对耦合的重量化效应。作为一系列数值分析的结果，已经阐明了耦合流量的总特征和一部分重新规范化的轨迹。 1997年，根据这些结果继续进行研究。为了检查对二维重量化轨迹的截断效应，已经在包括扭曲环耦合的三维空间中进行了流量分析。事实证明，扭曲耦合的重归其化效果是……如果流动在二维重新归一化轨迹附近开始，则更小。该结果表明，从二维重新规定轨迹附近的动作已经足够改进，并且从计算成本的角度来看，实际上实际上是有用的。检查了旋转对称性和物理量比的周周依赖性对晶格常数的比率，以在重新归一化轨迹附近的2环耦合作用。一项初步研究表明，与Symanzik的行动和Iwasaki的行动以及Wilson的行动相比，该动作显示了旋转对称性的更好的恢复。至于弦张力和过渡温度平方之间的比率依赖性，它与伊瓦萨基的作用一样好。下一步将需要进一步的广泛检查。在调查过程中，已经开发了针对并行处理器上的量规场生成的MPI（消息传递接口）程序。它是为当前可用的大规模平行计算机上的大型晶格QCD仿真而设计的。较少的