On analytic formulas of Feynman propagators in position space

ZHANG Hong-Hao; FENG Kai-Xi; QIU Si-Wei; ZHAO An; LI Xue-Song

doi:10.1088/1674-1137/34/10/005

Chinese Physics C> 2010, Vol. 34> Issue(10) : 1576-1582 DOI: 10.1088/1674-1137/34/10/005

On analytic formulas of Feynman propagators in position space

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Abstract：
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.

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ZHANG Hong-Hao, FENG Kai-Xi, QIU Si-Wei, ZHAO An and LI Xue-Song. On analytic formulas of Feynman propagators in position space[J]. Chinese Physics C, 2010, 34(10): 1576-1582. doi: 10.1088/1674-1137/34/10/005

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Received: 2009-11-20
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

On analytic formulas of Feynman propagators in position space

Corresponding author: ZHANG Hong-Hao,

Received Date: 2009-11-20

Accepted Date: 2010-01-21

Available Online: 2010-10-05

Abstract:

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.

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On analytic formulas of Feynman propagators in position space

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