论文标题
QCD在重密集政权中:大$ N_C $和Quarkyonic物质
QCD in the heavy dense regime: Large $N_c$ and quarkyonic matter
论文作者
论文摘要
在将角色和跳跃和集成在空间量规链路上的组合结合后,晶格QCD将具有复杂相互作用的三维$ SU(3)$ Polyakov Loop模型降低。对有效理论的简单截断对于合理细小的晶格上的重夸克有效,可以通过在其有效耦合中链接的群集扩展来解决。这被用来证明在寒冷和密集的状态下向重子物质的发作过渡。重复这些对一般$ n_c $的研究,人们发现,对于大$ n_c $,开始过渡成为一阶,而压力尺度则为$ p \ sim n_c $,通过三个连续的订单进行跳台扩张。这些特征与文献中给出的夸克物质的形式定义一致。我们讨论$ n_c = 3 $和物理QCD的含义。
After combined character and hopping expansions and integration over the spatial gauge links, lattice QCD reduces to a three-dimensional $SU(3)$ Polyakov loop model with complicated interactions. A simple truncation of the effective theory is valid for heavy quarks on reasonably fine lattices and can be solved by linked cluster expansion in its effective couplings. This was used ealier to demonstrate the onset transition to baryon matter in the cold and dense regime. Repeating these studies for general $N_c$, one finds that for large $N_c$ the onset transition becomes first-order, and the pressure scales as $p\sim N_c$ through three consecutive orders in the hoppoing expansion. These features are consistent with the formal definition of quarkyonic matter given in the literature. We discuss the implications for $N_c=3$ and physical QCD.