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dc.contributor.author | Binosi, Daniele | |
dc.contributor.author | Papavassiliou, Joannis | |
dc.date.accessioned | 2015-04-10T08:45:17Z | |
dc.date.available | 2015-04-10T08:45:17Z | |
dc.date.issued | 2004 | |
dc.identifier.citation | Binosi, Daniele Papavassiliou, Joannis 2004 Pinch technique self-energies and vertices to all orders in perturbation theory Journal of Physics G-Nuclear and Particle Physics 30 2 203 234 | |
dc.identifier.uri | http://hdl.handle.net/10550/43015 | |
dc.description.abstract | The all-order construction of the pinch technique gluon self-energy and quark-gluon vertex is presented in detail within the class of linear covariant gauges. The main ingredients in our analysis are the identification of a special Green's function, which serves as a common kernel to all self-energy and vertex diagrams, and the judicious use of the Slavnov-Taylor identity it satisfies. In particular, it is shown that the ghost-Green's functions appearing in this identity capture precisely the result of the pinching action at arbitrary order. By virtue of this observation the construction of the quark-gluon vertex becomes particularly compact. It turns out that the aforementioned ghost-Green's functions play a crucial role, their net effect being the non-trivial modification of the ghost diagrams of the quark-gluon vertex in such a way as to reproduce dynamically the characteristic ghost sector of the background field method. The gluon self-energy is also constructed following two different procedures. First, an indirect derivation is given, by resorting to the strong induction method and the assumption of the uniqueness of the S-matrix. Second, an explicit construction based on the intrinsic pinch technique is provided, using the Slavnov-Taylor identity satisfied by the all-order three-gluon vertex nested inside the self-energy diagrams. The process-independence of the gluon self-energy is also demonstrated, by using gluons instead of quark as external test particles, and identifying the corresponding kernel function, together with its Slavnov-Taylor identity. Finally, the general methodology for carrying out the renormalization of the resulting Green's functions is outlined, and various open questions are briefly discussed. | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Physics G-Nuclear and Particle Physics, 2004, vol. 30, num. 2, p. 203-234 | |
dc.subject | Física | |
dc.title | Pinch technique self-energies and vertices to all orders in perturbation theory | |
dc.type | journal article | es_ES |
dc.date.updated | 2015-04-10T08:45:18Z | |
dc.identifier.doi | 10.1088/0954-3899/30/2/017 | |
dc.identifier.idgrec | 091152 | |
dc.rights.accessRights | open access | es_ES |