Study on quantum-mechanical dynamics of gauge theories

规范理论量子力学动力学研究

• 批准号: 20540261
• 负责人: HAYAKAWA Masashi
• 金额: $ 2.75万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2008
• 资助国家: 日本
• 起止时间: 2008 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540261/
• 关键词: 素粒子理論; ゲージ理論; 場の量子論; 異常磁気能率; クォーク質量; QED; 多フレーバ QCD; 高次摂動計算; 格子ゲージ理論; conformal dynamics; 素粒子(理論); レプトンg-2; Nearly conformal dynamics; クォークの質量の決定; レプトン異常磁気能率; 電弱対称性の動的破れ; 格子QCDシミュレーション; 赤外共変不変性; QCD; クォークの質量; 微細構造定数

I completed the computation of the tenth-order QED contribution to the anomalous magnetic dipole moment (g－2) of the electron, and presented the most precise value for the fine structure constant. As for the muon g－2, by improving the numerical precision of the eighth-order QED contribution, and by completing the computation of the tenth-order contribution, the QED contribution in the muon g － 2 wasdetermined with the uncertainty less than that to be achieved by the next-generationexperiments. By simulating QED on the lattice, the electromagnetic correction in the masses of mesons was computed, and as a consequence, the masses of up, down and strange quarks can be determined, which are at present recognized as the standards. I carried out the simulation based on the lattice gauge theory to search the gauge system which may be responsible to the spontaneous breakdown of electroweak symmetry. I pointed out that the SU(3) gauge theory with ten-flavors of massless Dirac fermions is one of such candidates.

我完成了十阶QED对电子反常磁偶极矩(g-2)的贡献的计算，并给出了精细结构常数的最精确值。对于介子g-2，通过提高八阶QED贡献的数值精度和完成十阶贡献的计算，确定了介子g-2中的QED贡献，其不确定度小于下一代实验所能达到的不确定度。通过在晶格上模拟QED，计算了介子质量中的电磁修正，从而可以确定上夸克、下夸克和奇异夸克的质量，这是目前公认的标准。我基于格点规范理论进行了模拟，寻找可能导致电弱对称性自发破缺的规范系统。我指出，具有十态无质量狄拉克费米子的SU(3)规范理论就是这样的候选者之一。

项目成果

Updating quantum electro-dynamical contribution to the muon g-2

更新量子电动力学对 μ 子 g-2 的贡献

• 发表时间: 2012
• 作者: T. Tatsumi;et al.;M.Hayakawa
• 通讯作者: M.Hayakawa

Isospin symmetry breaking effects in the pion and nucleon masses

π介子和核子质量中的同位旋对称性破缺效应

• 发表时间: 2008
• 期刊: PoS LAT2008 (掲載予定)
• 作者: Ran Zhou;Thomas Blum;Takumi Doi;Masashi Hayakawa;Taku Izubuchi;Norikazu Yamada
• 通讯作者: Norikazu Yamada

Tenth-order lepton g-2 : Contribution from diagrams containing a sixth-order light-by-light-scattering subdiagram internally

十阶轻子 g-2：来自内部包含六阶逐光散射子图的图表的贡献

• 发表时间: 2010
• 期刊: Physical Review D 81
• 作者: T.Aoyama;K.Asano;M.Hayakawa;T.Kinoshita;M.Nio;N.Watanabe
• 通讯作者: N.Watanabe

物理学史上最も精密な理論値

物理学史上最精确的理论值

QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons

• DOI: 10.1143/ptp.120.413
• 发表时间: 2008-04
• 期刊: Progress of Theoretical Physics
• 作者: M. Hayakawa;S. Uno