另一种通过玻色化构造的二维 $U(1)$ 手征规范理论的格点形式
Yet another lattice formulation of 2D $U(1)$ chiral gauge theory via bosonization
AI总结：
本文提出一种新的二维U(1)手征规范理论格点形式，通过切除格点上的“洞”表示对偶标量场顶点算子，精确保持无反常理论的规范不变性。
摘要：
最近，基于阿贝尔玻色化，人们已经设计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特点是，对于无反常理论，规范不变性被精确地保持，因此完全不存在规范模式退耦的问题。在本文中，我们提出了另一种共享这一理想性质的格点形式。我们形式的一个特别独特之处在于，携带费米子矢量荷和玻色化中“磁荷”的对偶标量场的顶点算子，被表示为从格点上切除的一个“洞”；这就是最近由Abe等人在稍有不同的背景下提出的切除方法。
英文摘要：
Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice formulations is that the gauge invariance is \emph{exactly\/} preserved for anomaly-free theories and thus is completely free from the question of the gauge mode decoupling. In the present paper, we propose a yet another lattice formulation sharing this desired property. A particularly unique point in our formulation is that the vertex operator of the dual scalar field, which carries the vector charge of the fermion and the ``magnetic charge'' in the bosonization, is represented by a ``hole'' excised from the lattice; this is the excision method formulated recently by Abe et al. in a somewhat different context.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
