Strong Coupling Gauge Theories and Effective Field Theories

强耦合规范理论和有效场论

• 批准号: 11695030
• 负责人: YAMAWAKI Koichi
• 金额: $ 4.35万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11695030/
• 关键词: Strong Coupling Gauge Theory; Dynamical Symmetry Breaking; Chiral Symmetry Restoration; Nonperturbative Solution; Top Quark Condensate; Schwinger-Dyson equation; DLCQ; Hedden Local Symmetry; 複合ヒグス; 双対性; 大フレーヴァーQCD

Along the research plan we have made achievements as follows :( 1 ) We examined a possibility whether or not the top quark condensate can really take place by the Standard Model (SM) gauge dynamics in the extra dimensions, a most recent version of the top quark condensate model, and found that such a theory does have an ultraviolet fixed point and hence the SM gauge coupling does not necessarily yield enough attractive fence to trigger the top quark condensate. We further investigate general feature of the extra dimension gauge theories and found a new phase.( 2 ) The color superconductivity in the finite density phase QCD was investigated through Schwinger-Dyson equation.( 3 ) As to the effective field theories base on the hidden local symmetry (HLS), we found that the chiral symmetry restoration can take place also in the effective field theory for the large number of (massless) flavors in QCD and also pointed out the existence of Seiberg-type duality in non-SUSY QCD. We further proposed "Wilsonian of HLS model, which turned out to yield a very successful phenomenology. This algorithm was then applied for the Large flavor QCD and we found the chiral symmetry restoration would be a such a restoration it was pointed out that the vector dominance is badly violated. It was further shown that the new restoration can also take place in hot and dense QCD, thereby yielding a new basis for the analysis of quark-gluon plasma in RHIC and LHC heavy ion colliders.( 4 ) The DLCQ (Discrete LightCone Quantization) first proposed by Maskawa-Yamawaki (1976) has been an only well-defined framework for the lightcone quantization and hoped to recover the Lorentz invariance in the continuum limit. We demonstrated by explicite computation in the perturbation theory that the Lorentz invarince can never recover although unphysical (measure zero) region of the scattering matrix.

沿着研究计划，我们取得了以下成果：（1）我们通过额外维度标准模型（SM）规范动力学（顶夸克凝聚模型的最新版本）检验了顶夸克凝聚是否真的能够发生的可能性，发现这样的理论确实具有紫外不动点，因此SM规范耦合不一定会产生足够的吸引力栅栏来触发顶夸克凝​​聚。我们进一步研究了超维规范理论的一般特征，发现了一个新的相。(2)通过Schwinger-Dyson方程研究了有限密度相QCD中的颜色超导性。(3)对于基于隐局部对称性(HLS)的有效场论，我们发现对于QCD中大量(无质量)风味，手性对称性恢复也可以在有效场论中发生，并指出 证明非 SUSY QCD 中存在 Seiberg 型对偶性。我们进一步提出了“HLS模型的威尔逊模型，结果证明产生了非常成功的现象学。然后将该算法应用于大风味QCD，我们发现手性对称性恢复将是这样一种恢复，并指出矢量显性被严重违反。进一步表明，新的恢复也可以发生在热稠密QCD中，从而为分析 RHIC和LHC重离子对撞机中的夸克-胶子等离子体。(4)Maskawa-Yamawaki(1976)首先提出的DLCQ(离散光锥量子化)是唯一明确的光锥量子化框架，并希望恢复连续极限内的洛伦兹不变性。我们通过微扰理论中的显式计算证明了洛伦兹 尽管散射矩阵的非物理（测量零）区域，不变性永远无法恢复。

项目成果

V. A. Miransky, G.W. Semenoff, I. A. Shovkovy, and L. C. R. Wijewardhana: "Color Superconductivity and Nondecoupling Phenomena in (2+1)-Dimensional QCD"Phys. Rev. D. Vol.64. 025005 (2001)

V.A.米兰斯基，G.W.

V. A. Miransky, I. A. Shovkovy, and L. C. R.Wijewardhana: "Masses for Pseudo-Nambu-Goldstone Bosons in Two Flavor Color Superconducting Phase"Phys. Rev. D. Vol.64. 096002 (2001)

V. A. Miransky、I. A. Shovkovy 和 L. C. R.Wijewardhana：“两种风味颜色超导相中的伪南部戈德斯通玻色子的质量”

T. Sugihara, M. Taniguchi.: "Manifestation of the True Vacuum in DLCQ"Phys. Rev. Lett.. 87. 271601 (2001)

T. Sugihara、M. Taniguchi.：“DLCQ 中真实真空的表现”Phys。

V.P. Gusynin, I.A. Shovkovy.: "Carlson-Goldman Modes in the Color Superconducting Phase of Dense QCD"Phys. Rev.. D 64. 116005 (2001)

副总裁

M.Harada, K.Yamawaki: "Wilsonian Matching of Effective Field Theory with Underlying QCD"Phys. Rev.. Vol.D 64. 014023-1-014023-23 (2001)

M.Harada、K.Yamawaki：“有效场论与基础 QCD 的威尔逊匹配”物理。