论文标题
在二维晶格量规的连续限制中具有标量字段的颜色味道反射
Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields
论文作者
论文摘要
我们解决了本地和全球对称性之间的相互作用，以确定以$ SO（N_C）$ gauge Symmetry和Non-Abelian $ O（N_F）$ Global不变性为特征的二维晶格标量理论的连续限制。我们认为，当存在四分之一的互动时，这些模型的连续限制在某些情况下与与真实的Grassmannian歧管$ SO（N_F）/（SO（N_C）\ Times SO（N_F-N_C）$相关的corlight unight unight $ flection $ fllection $ fllection $ fllof的特征的非线性$σ$模型字段理论（N_F）/（so（N_C）\ Times so（N_C）\ Times so（N_C） N_F-N_C $。 Monte Carlo模拟和有限尺寸的缩放分析，以$ N_F = 7 $和几个值的$ N_C $执行，确认在缩放限制中的颜色味反射对称性的出现，并支持连续限制的识别。
We address the interplay between local and global symmetries in determining the continuum limit of two-dimensional lattice scalar theories characterized by $SO(N_c)$ gauge symmetry and non-Abelian $O(N_f)$ global invariance. We argue that, when a quartic interaction is present, the continuum limit of these model corresponds in some cases to the gauged non-linear $σ$ model field theory associated with the real Grassmannian manifold $SO(N_f)/(SO(N_c)\times SO(N_f-N_c)$), which is characterized by the invariance under the color-flavor reflection $N_c\leftrightarrow N_f-N_c$. Monte Carlo simulations and Finite-Size Scaling analyses, performed for $N_f=7$ and several values of $N_c$, confirm the emergence of the color-flavor reflection symmetry in the scaling limit, and support the identification of the continuum limit.
