Topology-changing first order phase transition and the dynamics of flavor
Topology-changing first order phase transition and the dynamics of flavor
复制标题
DOI：
10.1103/physrevd.77.066004
复制
发表时间：
2008-03-01
影响因子：
5
通讯作者：
Kundu, Arnab
中科院分区：
文献类型：
--
作者：
Albash, Tameem;Filev, Veselin;Kundu, Arnab
在研究大Nc， SU（N-c）规范理论在有限温度下具有基本夸克味的动力学过程中，我们观察到一阶相变。在有限的夸克质量下形成一个夸克凝聚体，在参数空间的一般区域，凝聚体的值随夸克质量的变化是平滑的。在特定的夸克质量值处，冷凝物的真空期望值存在有限的不连续，对应于一阶相变。我们利用AdS/CFT猜想通过其弦对偶公式研究了规范理论，弦对偶是有限温度下Nc d3膜的近视界几何，AdS5-Schwarzschild X S-5，由d7膜探测。d7膜具有拓扑(RXSXS1)-X-4-X-3，并且允许的解对应于在几何结构内部收缩的S-3或S-1。相变表示具有这两种不同的d膜拓扑的解的分支之间的跳跃。这种跃迁也出现在介子谱中。
In studying the dynamics of large Nc, SU(N-c) gauge theory at finite temperature with fundamental quark flavors in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and the value of the condensate varies smoothly with the quark mass for generic regions in parameter space. At a particular value of the quark mass, there is a finite discontinuity in the condensate's vacuum expectation value, corresponding to a first order phase transition. We study the gauge theory via its string dual formulation using the AdS/CFT conjecture, the string dual being the near-horizon geometry of Nc D3-branes at finite temperature, AdS5-Schwarzschild X S-5, probed by a D7-brane. The D7-brane has topology (RXSXS1)-X-4-X-3 and allowed solutions correspond to either the S-3 or the S-1 shrinking away in the interior of the geometry. The phase transition represents a jump between branches of solutions having these two distinct D-brane topologies. The transition also appears in the meson spectrum.