DSpace

Digital.CSIC > Ciencia y Tecnologías Físicas > Instituto de Física Corpuscular (IFIC) > (IFIC) Artículos >

Share

EndNote

Impact

Open Access item Pinch technique for Schwinger-Dyson equations

Authors:Binosi, D.
Papavassiliou, Joannis
Keywords:Background-field Method, Abelian Gauge Theories, Quantum Chromodynamics (QCD), Self-energies, Perturbation-theory, Effective Charge, 3-point Vertex, BRST Symmetry, Nonperturbative Effects, Gauge Symmetry
Issue Date:12-Mar-2007
Publisher:International School for Advanced Studies
Institute of Physics Publishing
Citation:Journal of High Energy Physics 3: 041 (2007)
JHEP03(2007)041
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.
Description:40 pages, 11 figures.-- ISI Article Identifier: 000245922000041.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0611354
Publisher version (URL):http://dx.doi.org/10.1088/1126-6708/2007/03/041
URI:http://hdl.handle.net/10261/9066
ISSN:1126-6708
???metadata.dc.identifier.doi???:10.1088/1126-6708/2007/03/041
Appears in Collections:(IFIC) Artículos

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.