Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
Abstract
We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2. Assuming the finiteness of the quenched perturbative expansion, that is the existence of the limit 0, we state that, exactly in d=3, all odd perturbative coefficients, starting with the third order one, should be zero in any gauge.
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