A Note on analytic formulas of Feynman propagators in position space

Details A Note on analytic formulas of Feynman propagators in position space A Note on analytic formulas of Feynman propagators in position space

2008-11-08

arxiv.org/abs/0811.1261v1

Chin.Phys.C34:1576-1582,2010

Physics

Mathematical Physics

7 pages, 2 figures

Scientific paper

10.1088/1674-1137/34/10/005

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.

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