Background field method: Alternative way of deriving the pinch technique’s results
نویسندگان
چکیده
منابع مشابه
Background field method: Alternative way of deriving the pinch technique's results.
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 selfenergy 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 ...
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It is shown that Cornwall’s pinch technique can be extended in a consistent diagrammatic way, so as to describe general background field gauges in Yang-Mills theories. The resulting one-loop Green’s functions are found to obey Ward identities identical to those derived from the classical action at the tree level. This generalization of the pinch technique may hence be related to the background ...
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Application of the background-field method to QCD and the electroweak Standard Model yields gauge-invariant effective actions giving rise to simple Ward identities. Within this method, we calculate the quantities that have been treated in the literature using the pinch technique. Putting the quantum gauge parameter equal to one, we recover the pinch-technique results as a special case of the ba...
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The background field method has been used successfully to determine hadron electromagnetic polarizabilities. Recently questions have been raised regarding the proper way to deal with the electric field on the lattice. In this paper, we show how the presence of a background electric field affects the quark hopping matrix. We use this formulation to carry out simulations on quenched configuration...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1994
ISSN: 0556-2821
DOI: 10.1103/physrevd.50.7066