标题： 通过玻色化方法的二维手征规范理论的新格点表述 显示英文标题

标题： Novel Lattice Formulation of 2D Chiral Gauge Theory via Bosonization

摘要： 最近，基于阿贝尔玻色化，已经构建了二维阿贝尔手征规范理论的格点形式。这些二维格点形式的一个显著之处在于，即使在有限的格点间距下，它们也能再现与连续理论相同的规范异常结构。在本次演讲中，我们提出了一种基于“删除方法”的格点形式，该方法最近在参考文献~\cite{Abe:2023uan}中被引入。这种方法遵守可接受性条件，这是对格点场构型平滑性的约束；它通常禁止带磁荷的物体，即费米子理论中的矢量电荷物体。我们表明，这样的物体可以在删除方法中作为称为“孔”的格点缺陷来定义，并讨论带电物体的选择规则。 显示英文摘要

摘要： Recently, lattice formulations of 2D Abelian chiral gauge theory have been constructed based on Abelian bosonization. It is remarkable about these 2D lattice formulations that they reproduce the same gauge anomaly structure as the continuum theory, even at a finite lattice spacing. In this talk, we propose yet another lattice formulation based on the ``excision method'' introduced recently in Ref.~\cite{Abe:2023uan}. This approach respects the admissibility condition, which is a constraint on the smoothness of lattice field configurations; it usually prohibits magnetically charged objects, that is, vector-charged objects in fermion theories. We show that such objects can be defined in the excision method as a lattice defect called a ``hole,'' and discuss the selection rules for charged objects.