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Pinch Technique: Theory and Applications

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Pinch Technique: Theory and Applications

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dc.contributor.author Binosi, Daniele
dc.contributor.author Papavassiliou, Joannis
dc.date.accessioned 2015-04-23T07:10:48Z
dc.date.available 2015-04-23T07:10:48Z
dc.date.issued 2009
dc.identifier.citation Binosi, Daniele Papavassiliou, Joannis 2009 Pinch Technique: Theory and Applications Physics Reports-Review Section of Physics Letters 479 1-6 1 152
dc.identifier.uri http://hdl.handle.net/10550/43282
dc.description.abstract We review the theoretical foundations and most important physical applications of the Pinch Technique (PT). This method allows the construction of off-shell Green's functions in non-Abelian gauge theories that are independent of the gauge-fixing parameter and satisfy ghost-free Ward identities. We first present the diagrammatic formulation of the technique in QCD, deriving at one loop the gauge independent gluon self-energy, quark-gluon vertex, and three-gluon vertex, together with their Abelian Ward identities. The generalization to theories with spontaneous symmetry breaking is carried out in detail, and the connection with the optical theorem and the dispersion relations are explained within the electroweak sector of the Standard Model. The equivalence between the PT and the Feynman gauge of the Background Field Method (BFM) is elaborated, and the crucial differences between the two methods are critically scrutinized. The Batalin-Vilkovisky quantization method and the general formalism of algebraic renormalization are introduced, and the all-order generalization of the PT is thoroughly examined. The extension of the PT to the non-perturbative domain of the QCD Schwinger-Dyson equations is presented systematically, and the main advantages of the resulting self-consistent truncation scheme are discussed. A plethora of physical applications relying on the PT are reviewed, such as the definition of gauge-independent off-shell form-factors, the construction of non-Abelian effective charges, the gauge-invariant treatment of resonant transition amplitudes and unstable particles, and the dynamical generation of an effective gluon mass.
dc.language.iso eng
dc.relation.ispartof Physics Reports-Review Section of Physics Letters, 2009, vol. 479, num. 1-6, p. 1-152
dc.subject Física
dc.title Pinch Technique: Theory and Applications
dc.type journal article es_ES
dc.date.updated 2015-04-23T07:10:48Z
dc.identifier.doi 10.1016/j.physrep.2009.05.001
dc.identifier.idgrec 056899
dc.rights.accessRights open access es_ES

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