Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-18
Nucl.Phys.Proc.Suppl.141:259-264,2005
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, 6 figures. Contribution to the Proceedings of QCD Downunder 2004 Workshop, held at the Special Centre for the Subatom
Scientific paper
10.1016/j.nuclphysbps.2004.12.03
We study the gauge dependence of the fermion propagator in quenched QED3 with and without dynamical symmetry breaking in the light of its Landau-Khalatnikov-Fradkin Transformation (LKFT). In the former case, starting with the massive bare propagator in the Landau gauge, we obtain non perturbative propagator in an arbitrary covariant gauge. At the one-loop level it yields exact wavefunction renormalization and correct $(\alpha \xi)$ terms for the mass fuction. Also, we obtain valuable information for the higher order perturbative expansion of the propagator. As for the case of dynamical chiral symmetry breaking, we start by approximating the numerical solution to the Schwinger-Dyson equation in Landau gauge in the rainbow approximation in terms of analytic functions. We then LKF transform this result to obtain the dynamically generated fermion propagator in an arbitrary covariant gauge. We find that the results obtained have nice qualitative features. We also extend this exercise to the cases involving more reliable ans\"atze for the vertex and encounter similar (and improved) qualitative features.
Bashir Adnan
Raya Alfredo
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