A Note on analytic formulas of Feynman propagators in position space
Mathematical Physics
2010-11-02 v1 math.MP
Abstract
In this paper, we correct an inaccurate result of previous works on the Feynman propagator in position space of a free Dirac field in (3+1)-dimensional spacetime, and 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.
Cite
@article{arxiv.0811.1261,
title = {A Note on analytic formulas of Feynman propagators in position space},
author = {Hong-Hao Zhang and Kai-Xi Feng and Si-Wei Qiu and An Zhao and Xue-Song Li},
journal= {arXiv preprint arXiv:0811.1261},
year = {2010}
}
Comments
7 pages, 2 figures