Two-Component Description for Relativistic Fermions

作     者：CHEN Yu-Qi SANG Wen-Long YANG Lan-Fei 

作者机构：Institute of Theoretical Physics Academia Sinica Beijing 100080 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第51卷第6期

页      面：1095-1100页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by National Natural Science Foundation of China under Grant No. 10475103 

主　　题：fermions two-component description Dirac equation 

摘      要：We propose a two-component form to describe massive relativistic fermions in gauge theories. Relations between the Green＇s functions in this form and those in the conventional four-component form are derived. It is shown that the S-matrix elements in both forms are exactly the same. The description of the fermion in the new form simplifies significantly the γ-matrix algebra in the four-component form. In particular, in perturbative calculations the propagator of the fermion is a scalar function. As examples, we use this form to reproduce the relativistic spectrum of hydrodron atom, the S-matrix of e＋e-→μ＋μ- and QED one-loop vacuum polarization of photon.