Numerical cancellation of photon quadratic divergence in the study of the Schwinger-Dyson equations in Strong Coupling QED

Abstract

The behaviour of the photon renormalization function in strong coupling QED has been recently studied by Kondo, Mino and Nakatani. We find that the sharp decrease in its behaviour at intermediate photon momenta is an artefact of the method used to remove the quadratic divergence in the vacuum polarization. We discuss how this can be avoided in numerical studies of the Schwinger-Dyson equations.

arXiv comment9 pages, Latex, 5 figures. Complete postscript file available from: ftp://cpt1.dur.ac.uk/pub/preprints/dtp94/dtp94100/dtp94100.ps

Cited by in corpus (10)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Are the Dressed Gluon and Ghost Propagators in the Landau Gauge presently determined in the confinement regime of QCD?
• Implications of analyticity to solution of Schwinger-Dyson equations in Minkowski space
• Critical Number of Flavours in QED
• Regularization-independent studies of nonperturbative field theory
• Strongly-Coupled Unquenched QED4 Propagators Using Schwinger-Dyson Equations
• Running coupling and fermion mass in strong coupling QED
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature
• Consistent power corrections to ultraviolet asymptotic solutions in Yang-Mills theory