On the origin of divergences in massless $QED_2$

Details On the origin of divergences in massless $QED_2$ On the origin of divergences in massless $QED_2$

2001-06-06

arxiv.org/abs/hep-th/0106057v1

J.Phys. G27 (2001) 1501-1518

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 21 pages, 12 figures, to appear in Journal of Physics G

Scientific paper

10.1088/0954-3899/27/7/310

We show that ultraviolet divergences found in fermionic Green's functions of massless $QED_2$ have an essentially non-perturbative nature. We investigate their origin both in gauge invariant formalism (the one where we introduce Wess-Zumino fields to restore quantum gauge invariance) and in gauge non-invariant formalism, mapping two different but equivalent mechanisms responsible for their appearance. We find the same results in both approaches, what contradicts a previous work of Jian-Ge, Qing-Hai and Yao-Yang, that found no divergences in the chiral Schwinger model considered in the gauge invariant formalism.

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