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arXiv · 0811.1261

A Note on analytic formulas of Feynman propagators in position space

Hong-Hao Zhang·Kai-Xi Feng·Si-Wei Qiu·An Zhao·Xue-Song Li
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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.

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Hong-Hao Zhang, Kai-Xi Feng, Si-Wei Qiu, An Zhao, Xue-Song Li. 2008-11-08. A Note on analytic formulas of Feynman propagators in position space. https://doi.org/10.1088/1674-1137/34/10/005

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