On analytic formulas of Feynman propagators in position space  

作　　者：ZHANG Hong-Hao FENG Kai-Xi QIU Si-Wei ZHAO An LI Xue-Song 张宏浩;冯开喜;丘斯伟;赵安;李雪松(School of Physics and Engineering,Sun Yat-Sen University;Science College,Hunan Agricultural University)

机构地区：[1]School of Physics and Engineering,Sun Yat-Sen University [2]Science College,Hunan Agricultural University

出　　处：《Chinese Physics C》2010年第10期1576-1582,共7页中国物理C（英文版）

基　　金：Supported by Specialized Research Fund for Doctoral Program of Higher Education (SRFDP) (200805581030);Sun Yet-Sen University Science Foundation and Fundamental Research Funds for the Central Universities

摘　　要：We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in （3 ＋ 1）-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary （D ＋ 1）- dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in （D＋1）-dimensional spacetime and the scalar Feynman propagators in （D＋1）-, （D-1）- and （D＋3）-dimensional spacetimes.We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in （3 ＋ 1）-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary （D ＋ 1）- dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in （D＋1）-dimensional spacetime and the scalar Feynman propagators in （D＋1）-, （D-1）- and （D＋3）-dimensional spacetimes.

关 键 词：Feynman propagator Klein-Gordon field Dirac field arbitrary dimensional spacetime 

分 类 号：O413.3[理学—理论物理]