论文标题
随机矩阵理论中的颜色味道锁定和2SC配对
Color-flavor locking and 2SC pairing in random matrix theory
论文作者
论文摘要
提出了一种新的非热性手性随机矩阵模型。对于三种口味，可以证明，在$ n $中，矩阵大小，颜色$ \ mathrm {su}（3）$和味道$ \ mathrm {su}（3）$对称是对角$ \ m mathrm {su {su}（3）（3）$ coopivey coolive，非线性Sigma模型表示是严格得出的，并将其与QCD的CFL手性Lagrangian进行了比较。 For two flavors, the color $\mathrm{SU}(3)$ symmetry is shown to be spontaneously broken to $\mathrm{SU}(2)$ while the chiral $\mathrm{SU}(2)_L\times\mathrm{SU}(2)_R$ symmetry remains intact, thus reproducing the symmetry breaking pattern of the 2SC phase in QCD。
A new non-Hermitian chiral random matrix model is proposed. For three flavors, it is shown that in the large-$N$ limit with $N$ the matrix size, the color $\mathrm{SU}(3)$ and the flavor $\mathrm{SU}(3)$ symmetries are spontaneously broken to the diagonal $\mathrm{SU}(3)$ subgroup, realizing color-flavor locking. The nonlinear sigma model representation is rigorously derived and compared with the CFL chiral Lagrangian of QCD. For two flavors, the color $\mathrm{SU}(3)$ symmetry is shown to be spontaneously broken to $\mathrm{SU}(2)$ while the chiral $\mathrm{SU}(2)_L\times\mathrm{SU}(2)_R$ symmetry remains intact, thus reproducing the symmetry breaking pattern of the 2SC phase in QCD.
