Improved Actions by Renormalization Group

重整化群的改进行动

• 批准号: 10640272
• 负责人: NAKAMURA Atsushi
• 金额: $ 1.92万
• 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: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640272/
• 关键词: QCD; Field Theory; Simulations; Renormalization group; Gluons; Improved action; ゲージ理論

Wilson proposed the lattice gauge theory where actions are consists of gauge invariant terms. The form of the actions, however, is not unique. So far the simplest one has been used for numerical simulations. By introducing other terms, we can improved simulations, i.e, we have chance to get more reliable results which are closer to the continuum ones. Especially actions on the renormalized trajectory, which appears as the result of the renormalization transformation, give "perfect" results which are free from lattice discretization artefact. We have performed to get the improved actions by Monte Carlo renormalization group analysis.We have employed Schwinger-Dyson equation and investigated the renormalization group flow. As the result, we have found the evidence of the renormalized trajectory in the two-coupling space, and the relation to Symanzik and Iwasaki actions has become clear. We have observed that the heavy quark potential shows indeed the better behavior when reaching to the renormalized trajectory.We have further found an effective beta function which describes the renormalization flow. From this we can obtain fundamental parameters which we need in numerical simulations.We have published the final results in Nuclear Physics.

威尔逊提出了晶格仪理论，其中的行动是由规格不变的术语组成的。但是，动作的形式并非唯一。到目前为止，最简单的一个已用于数值模拟。通过引入其他术语，我们可以改进模拟，即，我们有机会获得更可靠的结果，这些结果更接近连续体。尤其是对重新归一化轨迹的作用，这是由于重新归一化的转化而出现的，它给出了“完美”的结果，这些结果不受晶格离散化伪像。我们已经进行了蒙特卡洛重新归一化组分析的改进动作。我们已经采用了Schwinger-Dyson方程并研究了重新归一化组的流动。结果，我们发现了在两个耦合空间中重新归一化轨迹的证据，以及与Symanzik和Iwasaki行动的关系变得很明显。我们已经观察到，沉重的夸克电势在达到重新归一化的轨迹时确实表现出更好的行为。我们进一步找到了描述重新归一化流量的有效β函数。从中，我们可以获得在数值模拟中需要的基本参数。我们已经发布了核物理学的最终结果。

项目成果

Ph.de Forcrand 他: "Effects of Chemical Potential on Hadron Masses at Finite Temperature"Nuclear Physics. B(PS)73. 477-479 (1999)

Ph.de Forcrand 等人：“有限温度下化学势对强子质量的影响”B(PS)73 (1999)。

F.Shoji,T.Suzuki,H.Kodama and A.Nakamura: "NEW GAUGE FIXING METHOD FOR ABELIAN PROJECTION"Physics Letters. B476. 199-204 (2000)

F.Shoji、T.Suzuki、H.Kodama 和 A.Nakamura：“阿贝尔投影的新规范固定方法”物理快报。

Ph.deForcrand 他: "MONTE CARLO RENORMALIZATION GROUP ANALYSIS OF QCD IN TWO-DIMENSIONAL COUPLING SPACE"Nuclear Physics. B(PS)83. 872-874 (2000)

Ph.deForcrand 等人：“二维耦合空间中 QCD 的蒙特卡罗重整群分析”核物理 B(PS)872-874。

QCDTARO Collaboration : Ph.deForcrand, A.Nakamura et al.: "Effects of Chemical Potential on Hadron Masses at Finite Temperature"Nucl.Phys.B. (Proc.Suppl.) 73. 477-479 (1999)

QCDTARO 合作：Ph.deForcrand、A.Nakamura 等人：“有限温度下化学势对强子质量的影响”Nucl.Phys.B。

S.Hioki and A.Nakamura: "QCDimMPI:MPI code for QCD with improved action"Nuclear Physics. B(PS)73. 895-897 (1999)

S.Hioki 和 A.Nakamura：“QCDimMPI：具有改进作用的 QCD 的 MPI 代码”核物理。