Study of non-perturbative effects of gauge theories using numerical methods

用数值方法研究规范理论的非微扰效应

• 批准号: 13135210
• 负责人: SUZUKI Tsuneo
• 金额: $ 8.06万
• 依托单位: Kanazawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research on Priority Areas
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13135210/
• 关键词: monopole; QCD; Confinement; Extra dimension; flavor symmetry; The Kugo-Ojima condition; Landau gauge; The Kugo-Ojima parameter; ユニタリーゲージ; 高次元模型; 超対称統一理論; ゴースト凝縮; Landauゲージ; 素粒子論; トポロジー; 計算物理; ハイパフォーマンス・コンピューター; monopole; color confinemen

Abelian mechanism of color confinement is observed bu Suzuki et al. in a gauge-independent way in SU (2) gluodynamics. A new noise-reduction method using random gauge transformations as well as the multi-level method are adopted. A static potential derived from Abelian Polyakov loop correlators gives us the correct string tension. Moreover only the monopole part in the Abelian Polyakov loop is responsible for the string tension. Abelian electric fields defined in an arbitrary color direction are squeezed and the corresponding monopole currents play the role of magnetic super currents. The penetration and the coherence lengths are consistent with those observed previously after Abelian projections. Since an Abelian neutral state in all color channels is restricted to a color-singlet state alone, the non-Abelian color confinement in SU (2) gluodynamics can be understood as the Abelian dual Meissner effect due to monopoles.Kubo found that a certain flavor symmetry based on a non-abelian discrete group can be realized at low energies. Discrete flavor symmetries can originate from the geometry of compactified extra dimensions. They make predictions that can be tested by future experiments such as Large Hadron Colider experiments and Super B-Factory experiments at KEK.The running coupling and the Kugo-Ojima confinement parameter were analyzed by Nakajima and his colaborator in lattice Landau gauge QCD with use of quenched and unquenched gauge configurations. Although the running coupling measured by the ghost and gluon dressing function is infrared suppressed, the running coupling has a maximum of $\alpha_0\sim 2-2.5$ at around $q=0.5$ GeV irrespective of the fermion actions (Wilson fermions and Kogut-Susskind fermions). The Kugo-Ojima Parameter $c$ which saturates to about 0.8 in quenched simulations becomes consistent with the expected value, 1, in the MILC configurations produced with the use of Asqtad action.

Suzuki 等人观察到了颜色限制的阿贝尔机制。在 SU (2) 液体动力学中以与规范无关的方式。采用随机规范变换和多级方法的新降噪方法。从阿贝尔波利亚科夫环路相关器导出的静态势为我们提供了正确的弦张力。此外，只有阿贝尔波利亚科夫环中的单极子部分负责弦张力。在任意颜色方向定义的阿贝尔电场被挤压，相应的单极电流起到磁超电流的作用。穿透力和相干长度与之前在阿贝尔投影后观察到的一致。由于所有颜色通道中的阿贝尔中性态仅限于颜色单态，因此 SU (2) 光动力学中的非阿贝尔颜色限制可以理解为单极子引起的阿贝尔对偶迈斯纳效应。久保发现某种风味基于非阿贝尔离散群的对称性可以在低能量下实现。离散的风味对称性可以源自压缩的额外维度的几何形状。他们做出的预测可以通过未来的实验进行测试，例如大型强子对撞机实验和 KEK 的 Super B-Factory 实验。中岛和他的合作者在格子朗道规范 QCD 中使用以下方法分析了运行耦合和 Kugo-Ojima 约束参数：淬火和未淬火的仪表配置。尽管鬼影和胶子修整函数测量的运行耦合受到红外抑制，但运行耦合在 $q=0.5$ GeV 附近具有最大值 $\alpha_0\sim 2-2.5$，而与费米子作用无关（Wilson 费米子和 Kogut -苏斯金德费米子）。 Kugo-Ojima 参数 $c$ 在淬火模拟中饱和至约 0.8，与使用 Asqtad 作用生成的 MILC 配置中的预期值 1 一致。

项目成果

Baryonic Flux in Quenched and Two-Flavor Dynamical QCD

淬火和二味动态 QCD 中的重子通量

• 发表时间: 2004
• 期刊: Phys.Rev. D70
• 作者: K. Ishikawa;N. Maeda;V.G.Bornyakov et al.
• 通讯作者: V.G.Bornyakov et al.

H.Nakajima, S.Furui: "Numerical studies of confinement in the Landau gauge by the larger lattice simulation"Nucl.Phys. B(Proc. Suppl.). (印刷中). (2003)

H.Nakajima、S.Furui：“通过较大晶格模拟对朗道规范中的约束进行数值研究”Nucl.Phys B（Proc. Suppl.）（出版中）。

H.Nakajima, S.Furui, A.Yamaguchi: "Numerical studies of confinement in the lattice Landau gauge"Nucl.Phys. B(Proc. Suppl.). 94. 558-561 (2001)

H.Nakajima、S.Furui、A.Yamaguchi：“晶格朗道规范约束的数值研究”Nucl.Phys。

Profiles of the broken string in two-flavor QCD below and above the finite temperature transition

低于和高于有限温度转变时两种风味 QCD 中断弦的剖面

• 发表时间: 2004
• 期刊: Prog. Theor. Phys. {\bf 112}
• 作者: V. G. Bornyakov;et al
• 通讯作者: et al

M.N.Chernodub et al.: "Numerical determination of monopole entropy in pure SU(2) QCD"Phys.Rev.. D69. 014909 (2004)

M.N.Chernodub 等人：“纯 SU(2) QCD 中单极熵的数值测定”Phys.Rev..D69。