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Pinch technique for Schwinger-Dyson equations

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Pinch technique for Schwinger-Dyson equations

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dc.contributor.author Binosi, Daniele
dc.contributor.author Papavassiliou, Joannis
dc.date.accessioned 2015-04-22T12:00:09Z
dc.date.available 2015-04-22T12:00:09Z
dc.date.issued 2007
dc.identifier.citation Binosi, Daniele Papavassiliou, Joannis 2007 Pinch technique for Schwinger-Dyson equations Journal of High Energy Physics 0703 3 041
dc.identifier.uri http://hdl.handle.net/10550/43270
dc.description.abstract In the context of scalar QED we derive the pinch technique self-energies and vertices directly from the Schwinger-Dyson equations. After reviewing the perturbative construction, we discuss in detail the general methodology and the basic field-theoretic ingredients necessary for the completion of this task. The construction requires the simultaneous treatment of the equations governing the scalar self-energy and the fundamental interaction vertices. The resulting non-trivial rearrangement of terms generates dynamically the Schwinger-Dyson equations for the corresponding Green's functions of the background field method. The proof relies on the extensive use of the all-order Ward-identities satisfied by the full vertices of the theory and by the one-particle-irreducible kernels appearing in the usual skeleton expansion. The Ward identities for these latter quantities are derived formally, and several subtleties related to the structure of the multiparticle kernels are addressed. The general strategy for the generalization of the method in a non-Abelian context is briefly outlined, and some of the technical difficulties are discussed.
dc.language.iso eng
dc.relation.ispartof Journal of High Energy Physics, 2007, vol. 0703, num. 3, p. 041
dc.subject Física
dc.title Pinch technique for Schwinger-Dyson equations
dc.type journal article es_ES
dc.date.updated 2015-04-22T12:00:09Z
dc.identifier.doi 10.1088/1126-6708/2007/03/041
dc.identifier.idgrec 041757
dc.rights.accessRights open access es_ES

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