Transverse anomalies and Dyson-Schwinger equation in QED(3) and QED(2) theories
Transverse anomalies and Dyson-Schwinger equation in QED(3) and QED(2) theories
复制标题
QED(3) 和 QED(2) 理论中的横向异常和 Dyson-Schwinger 方程
DOI：
10.1016/j.physletb.2018.10.041
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发表时间：
2018
影响因子：
4.4
通讯作者：
Zong Hong-Shi
中科院分区：
文献类型：
--
作者：
Luo Cui-Bai;Wu Chen;Shi Song;Zong Hong-Shi
基于矢量旋度、轴矢量旋度和张量流算符方程的计算方法，研究了QED 3和QED 2理论中横向Ward-Takahashi关系可能存在的量子反常.分别验证了QED 2理论中的轴矢量流和QED 3理论中的矢量（张量）流不存在横向反常。进一步发现，当忽略威尔逊线中涉及顶点函数的三个积分项的贡献时，可以得到QED 3中的一组闭合耦合积分戴森-施温格方程。
Based on the method of computing the curl of vector, axial-vector and the tensor current operator equations, the possible quantum anomaly for the transverse Ward–Takahashi relations in QED3and QED2theories is studied. The absence of transverse anomalies for both axial-vector current in QED2theory and vector (tensor) current in QED3theory are verified respectively. Further, it is found that when we ignore the contribution of the three integral-term involving the vertex function in the Wilson line, we can get a set of closed coupled integral Dyson–Schwinger equations in QED3.