Pion-Pion Scattering in Two Dimensions
D. Delphenich, J. Schechter, S. Vaidya
Abstract
Massive two-flavor QED2 is known to have many similarities to the two-flavor QCD4. Here we compare the π-πscattering amplitudes (actually an analog process in QED2) of the two theories. The QED2 amplitude is computed from the bosonized version of the model while the QCD4 amplitude is computed from an effective low energy chiral Lagrangian. A number of interesting features are noted. For example, the contribution of the two-dimensional Wess-Zumino-Witten (WZW) term in QED2 is structurally identical to the vector meson exchange contribution in QCD4. Also it is shown that the QED2 amplitude computed at tree level is a reasonable approximation to the known exact strong coupling solution.
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