Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-04-11
Phys.Rev. D66 (2002) 025024
Physics
High Energy Physics
High Energy Physics - Phenomenology
45 pages, uses axodraw; typos corrected, one figure changed, final version to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.66.025024
In this paper we take the first step towards a non-diagrammatic formulation of the Pinch Technique. In particular we proceed into a systematic identification of the parts of the one-loop and two-loop Feynman diagrams that are exchanged during the pinching process in terms of unphysical ghost Green's functions; the latter appear in the standard Slavnov-Taylor identity satisfied by the tree-level and one-loop three-gluon vertex. This identification allows for the consistent generalization of the intrinsic pinch technique to two loops, through the collective treatment of entire sets of diagrams, instead of the laborious algebraic manipulation of individual graphs, and sets up the stage for the generalization of the method to all orders. We show that the task of comparing the effective Green's functions obtained by the Pinch Technique with those computed in the background field method Feynman gauge is significantly facilitated when employing the powerful quantization framework of Batalin and Vilkovisky. This formalism allows for the derivation of a set of useful non-linear identities, which express the Background Field Method Green's functions in terms of the conventional (quantum) ones and auxiliary Green's functions involving the background source and the gluonic anti-field; these latter Green's functions are subsequently related by means of a Schwinger-Dyson type of equation to the ghost Green's functions appearing in the aforementioned Slavnov-Taylor identity.
Binosi Daniele
Papavassiliou Joannis
No associations
LandOfFree
Pinch Technique and the Batalin-Vilkovisky formalism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Pinch Technique and the Batalin-Vilkovisky formalism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pinch Technique and the Batalin-Vilkovisky formalism will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-66837