Abstract
We show that ultraviolet divergences found in fermionic Green functionsof massless QED2 have an essentially non-perturbative nature. Weinvestigate their origin both in the gauge invariant formalism (wherewe introduce Wess-Zumino fields to restore quantum gauge invariance)and in the gauge non-invariant formalism, mapping two different butequivalent mechanisms responsible for their appearance. We find the sameresults in both approaches, what contradicts a previous work of Jian-Ge,Qing-Hai and Yao-Yang, that found no divergences in the chiral Schwingermodel considered in the gauge invariant formalism.
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