The Chiral Model of Sakai-Sugimoto at Finite Baryon Density
有限重子密度下Sakai-Sugimoto的手征模型
							
						    来自arXiv
                            2023-04-13 17:24:27
                        
In the context of holographic QCD we analyze Sakai-Sugimoto's chiral model at finite baryon density and zero temperature. The baryon number density is introduced through compact D4 wrapping S^4 at the tip of D8-\bar{D8}. Each baryon acts as a chiral point-like source distributed uniformly over R^3, and leads a non-vanishing U(1)_V potential on the brane. For fixed baryon charge density n_B we analyze the bulk energy density and pressure using the canonical formalism. The baryonic matter with point like sources is always in the spontaneously broken phase of chiral symmetry, whatever the density. The point-like nature of the sources and large N_c cause the matter to be repulsive as all baryon interactions are omega mediated. Through the induced DBI action on D8-\bar{D8}, we study the effects of the fixed baryon charge density n_B on the pion and vector meson masses and couplings. Issues related to vector dominance in matter in the context of holographic QCD are also discussed.
在全息QCD的背景下,我们分析了Sakai-Sugimoto的手征模型 有限重子密度和零温度。重子数密度为 通过紧凑的D4将S^4包装在D8的尖端--BAR{D8}。每个 重子充当均匀分布在R^3上的手性类点源,并且 在膜上产生不消失的U(1)_V电位。对于固定的重子电荷 密度n_B用正则方法分析了体积能密度和压强 形式主义。具有类点源的重子物质总是在 手性对称性的自发破缺相,无论密度是多少。这个 源的点状性质和大的N_c导致物质是排斥的 因为所有的重子相互作用都是由欧米伽调节的。通过诱导的DBI操作 在D8-\bar{D8}上,我们研究了固定重子电荷密度n_B对D8-\bar{D8}的影响 介子和矢量介子的质量和耦合。与向量有关的问题 文中还讨论了全息QCD背景下物质的支配地位。
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