Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-06-04
Phys.Rev. D54 (1996) 4049-4058
Physics
High Energy Physics
High Energy Physics - Phenomenology
revtex, 17 pages and 6 postscript figures, to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.54.4049
We investigate the influence of the full vacuum polarization and vertex function on the fermion propagator, using the coupled Dyson--Schwinger equations for the photon and fermion propagator. We show that, within a range of vertex functions, the general behavior of the fermion propagator does not depend on the exact details of the vertex, both in the massless and in the massive phase. Independent of the precise vertex function, there is a critical number of fermion flavors for dynamical mass generation in $(2+1)$-dimensional QED. A consistent treatment of the vacuum polarization is essential for these results.
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