The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results

Details The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results

1994-06-10

arxiv.org/abs/hep-ph/9406271v1

Phys.Rev. D50 (1994) 7066-7076

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages in LaTeX including 8 figures using epsf.sty, uuencoded-compressed-tar format

Scientific paper

10.1103/PhysRevD.50.7066

We show that the background field method (BFM) is a simple way of deriving the same gauge-invariant results which are obtained by the pinch technique (PT). For illustration we construct gauge-invariant self-energy and three-point vertices for gluons at one-loop level by BFM and demonstrate that we get the same results which were derived via PT. We also calculate the four-gluon vertex in BFM and show that this vertex obeys the same Ward identity that was found with PT.}

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