Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-17
Phys.Rev.D47:5581-5588,1993
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, PHY-7143-TH-93, REVTEX
Scientific paper
10.1103/PhysRevD.47.5581
In the quenched approximation, the gauge covariance properties of three vertex Ans\"{a}tze in the Schwinger-Dyson equation for the fermion self energy are analysed in three- and four- dimensional quantum electrodynamics. Based on the Cornwall-Jackiw-Tomboulis effective action, it is inferred that the spectral representation used for the vertex in the gauge technique cannot support dynamical chiral symmetry breaking. A criterion for establishing whether a given Ansatz can confer gauge covariance upon the Schwinger-Dyson equation is presented and the Curtis and Pennington Ansatz is shown to satisfy this constraint. We obtain an analytic solution of the Schwinger-Dyson equation for quenched, massless three-dimensional quantum electrodynamics for arbitrary values of the gauge parameter in the absence of dynamical chiral symmetry breaking.
Burden Conrad J.
Roberts Craig D.
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