论文标题
单一基质模型和晶格QCD2的阶段
Phases of unitary matrix models and lattice QCD2
论文作者
论文摘要
我们调查了广义的毛wadia $ u（n）$矩阵型号的不同大$ n $阶段。变形模拟了费米式物质的一环决定因素，并与特定的耦合到量规场。在模型的一个版本中，GWW相转换均匀，并变成了交叉。在另一个版本中，该相转换沿着二维参数空间中的关键线发生，该空间由“ t〜hooft耦合$λ$和委内撒诺参数$τ$）跨越。我们计算两个阶段威尔逊循环的期望值，表明过渡是三阶。 $β$函数的计算显示了IR稳定固定点的存在。
We investigate the different large $N$ phases of a generalized Gross-Witten-Wadia $U(N)$ matrix model. The deformation mimics the one-loop determinant of fermion matter with a particular coupling to gauge fields. In one version of the model, the GWW phase transition is smoothed out and it becomes a crossover. In another version, the phase transition occurs along a critical line in the two-dimensional parameter space spanned by the 't~Hooft coupling $λ$ and the Veneziano parameter $τ$. We compute the expectation value of Wilson loops in both phases, showing that the transition is third-order. A calculation of the $β$ function shows the existence of an IR stable fixed point.
