arXiv 0902.33612009-02-21hep-phhep-thnucl-th

稠密物质中强子的隐局域对称性中的伸缩子

Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter

Hyun Kyu Lee, Mannque Rho

备注：: 28 pages, 2 figures; additional references
发表信息：: Nucl.Phys.A829:76-99,2009
DOI：: 10.1016/j.nuclphysa.2009.08.002

摘要：

用自发破缺来描述QCD的迹反常对标度不变性的显式破缺，得到了稠密的低能强相互作用动力学除了南武-戈德斯通玻色子和矢量介子之外，（也是热的）物质还可以被两个介子场有效地捕获，锁定到手征对称性的“软”（$χ_s$）场和保持不受手征对称性影响的“硬”（$χ_h$）场。在热的和/或致密的物质中，软硬电子子的相互作用对手征对称性的表现起着微妙的作用。尺度异常，其中软成分干预消失的手征过渡的方式类似于恢复的尺度对称性的Freund-Nambu模型，而硬成分仍然打破整个QCD部门。最引人注目的是它在手征异常扇区中的作用，通过$ω_μB^μ$形式的“齐次Wess-Zumino（hWZ）项”对单个重子以及重子致密物质的结构。它在预测核子的“小袋”和高密度下半skyrmion物质形式的“夸克相”中起着至关重要的作用。我们展示了如何消失的矢量介子质量在隐藏的局部对称性理论的矢量表现不动点可以相关的性质的“物质场”的弗罗因德-Nambu模型，叶尺度对称性不变。在这样构建的模型中，致密强子物质的新结构表明，在全息双QCD的大$N_c$和t Hooft极限下，描述致密物质可能会出错。

英文摘要：

With the explicit breaking of scale invariance by the trace anomaly of QCD rephrased in terms of spontaneous breaking, low-energy strong interaction dynamics of dense (and also hot) matter can be effectively captured by -- in addition to the Nambu-Goldstone bosons and the vector mesons -- two dilaton fields, the "soft" ($χ_s$) field that is locked to chiral symmetry and the "hard" ($χ_h$) field which remains unaffected by chiral symmetry. The interplay of the soft and hard dilatons plays a subtle role in how chiral symmetry is manifested in hot and/or dense matter. The scale anomaly in which the soft component intervenes vanishes at the chiral transition in a way analogous to the restoration of scale symmetry in the Freund-Nambu model, while that of the hard component remains broken throughout the QCD sector. Most remarkable of all is its role in the chiral anomaly sector through a "homogeneous Wess-Zumino (hWZ) term" of the form $ω_μB^μ$ on the structure of a single baryon as well as dense baryonic matter. It figures crucially in predicting a "Little Bag" for the nucleon and a "quarkyonic phase" in the form of a half-skyrmion matter at high density. We show how the vanishing of the vector-meson mass at the vector manifestation fixed point in hidden local symmetry theory can be related to the property of the "matter field" in the Freund-Nambu model that leaves scale symmetry invariant. The emerging structure of dense hadronic matter in the model so constructed suggests what could be amiss in describing dense matter in holographic dual QCD at its large $N_c$ and 't Hooft limit.

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