论文标题
在手性毛发模型的不均匀阶段
On the Inhomogeneous Phase of the Chiral Gross-Neveu Model
论文作者
论文摘要
有充分的证据表明，在存在$ U（1）$ fermion Number Chember-forme togement $ $ $的情况下，在存在{\ It手性螺旋}阶段的阶段，具有不均匀的阶段，有一个不均匀的居民，具有一个不均匀的居民，并具有一个不均匀的居民。我们表明，手性螺旋配置持续存在有限$ n $，对于任何$μ> 0 $，$ t = 0 $。我们的分析是基于非阿布尔隆以上的，将模型与$ u（n）_1 $ WZW模型相关联。在此描述中，不均匀阶段的外观非常简单。我们还通过直接的示意计算来重新绘制大型$ N $手性毛刺模型的相图，从而找到了与文献中先前结果的一致性。
There is substantial evidence that the ground state of the 2d chiral Gross-Neveu model, in the presence of a $U(1)$ fermion number chemical potential $μ$ and in the large $N$ limit, is given by a {\it chiral spiral} phase, namely an inhomogeneous phase with a chiral condensate having a spatially periodic phase. We show that the chiral spiral configuration persists at finite $N$ and $T=0$ for any $μ>0$. Our analysis is based on non-abelian bosonization, that relates the model to a $U(N)_1$ WZW model deformed by current-current interactions. In this description the appearance of the inhomogeneous phase is surprisingly simple. We also rederive the phase diagram of the large $N$ chiral Gross-Neveu model via a direct diagrammatic computation, finding agreement with previous results in the literature.
