Background field method: Alternative way of deriving the pinch technique’s results
Open Access
- 1 December 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 50 (11) , 7066-7076
- https://doi.org/10.1103/physrevd.50.7066
Abstract
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 the one-loop level by the BFM and demonstrate that we get the same results which were derived via the PT. We also calculate the four-gluon vertex in the BFM and show that this vertex obeys the same Ward identity that was found with the PT.Keywords
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