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等人在SU（2）胶子动力学中用规范无关的方法观察到了色禁闭的阿贝尔机制。采用了一种新的降噪方法，即随机规范变换和多能级方法。由阿贝尔波里雅科夫回路微分器导出的静电势给出了正确的弦张力。此外，只有阿贝尔Polyakov环中的第二部分负责弦张力。定义在任意色方向上的阿贝尔电场被压缩，相应的超磁流起着磁超电流的作用。的渗透和相干长度与以前观察到的阿贝尔投影后一致。由于所有色通道中的阿贝尔中性态仅限于色单态，SU（2）胶子动力学中的非阿贝尔色禁闭可以理解为单极子引起的阿贝尔对偶Meissner效应。久保发现，基于非阿贝尔离散群的某种味对称性可以在低能量下实现。离散味对称性可以起源于紧化额外维的几何。他们的预测可以通过未来的实验，如大型强子Colider实验和超级B-工厂实验在KEK.The运行耦合和Kugo-Ojima约束参数进行了分析Nakajima和他的colaborator在格点朗道规范QCD使用淬火和非淬火规范配置。虽然鬼和胶子敷料功能测量的运行耦合红外抑制，运行耦合有一个最大值$\alpha_0\sim 2-2.5$在约$q=0.5$ GeV的费米子作用（威尔逊费米子和Kogut-Susskind费米子）。在淬火模拟中饱和到约0.8的Kugo-Ojima参数$c$与使用Asqtad作用产生的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, 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。

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）。

Unquenched Kogut-Susskind quark propagator in lattice Landau gauge QCD

晶格朗道规范 QCD 中未淬火的 Kogut-Susskind 夸克传播器

• 发表时间: 2006
• 期刊: Phys. Rev. D53
• 作者: S. Furui;H. Nakajima
• 通讯作者: H. Nakajima

Vacuum type of SO(2) gluodynamics in maximally Abelian and Landau gauges

最大阿贝尔规范和朗道规范中 SO(2) 气体动力学的真空型

• 发表时间: 2005
• 期刊: Phys.Rev. D72
• 作者: Isuneo Suzuki et al. (M.N.Chernodub)