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

该研究的目的是找到晶格量规的作用，使我们能够通过数值模拟进行精确的估计。 d Schwinger-dyson的方法确定耦合的重归于耦合的特征。二维轨迹附近的尺寸空间<是二维轨迹。与Symzik的动作相比，在动作中，型号的旋转对称性与iwasaki的动作相比，与IWASAKI的动作一样好。当前可用的质量计算机上的大型晶格QCD模拟。