Bosonization with a background U(1) gauge field
Bosonization with a background U(1) gauge field
复制标题
具有背景 U(1) 规范场的玻色化
DOI：
10.1103/physrevb.100.075105
复制
发表时间：
2019
影响因子：
3.7
通讯作者：
Fukusumi Yoshiki
中科院分区：
文献类型：
--
作者：
Yao Yuan;Fukusumi Yoshiki
玻色化是分析费米子系统的重要框架之一。本文提出了狄拉克费米子与背景规范场耦合的一种新玻色化。我们的新玻色化与规范不变性、全局手征反常匹配和费米子-玻色算符对应是一致的，这两个都是以前开发的玻色化所不满足的。我们的玻色化解决了双线性狄拉克-质量项凝聚佯谬及其推广形式。这种新的相互作用玻色化方法也正确地捕捉到了一类重要的临界晶格模型的共形特征，如共形维数和扭曲边界条件下XXZ自旋链的共形反常。我们的工作阐明了二维共形场论中费米子通量插入和玻色子背景电荷插入的等价性。
Bosonization is one of the most significant frameworks to analyze fermionic systems. In this work, we propose a new bosonization of Dirac fermion coupled withbackground gauge field. Our new bosonization is consistent with gauge invariance, global chiral anomaly matching and fermion-boson operator correspondence, either of which is not satisfied by previously developed bosonizations. The bilinear Dirac-mass term condensation paradox and its generalized form are resolved by our bosonization. This new bosonization approach to interacting systems also correctly captures the conformal characters of a significant class of critical lattice models, such as conformal dimensions and the conformal anomaly of XXZ spin chain with twisted boundary condition. Our work clarifies the equivalence of fermionic flux insertion and bosonic background charge insertion for two-dimensional conformal field theory.