#### Document Type

Article

#### Date

6-12-1998

#### Language

English

#### Disciplines

Physics

#### Description/Abstract

Massive two-flavor QED_2 is known to have many similarities to the two-flavor QCD_4. Here we compare the \pi-\pi scattering amplitudes (actually an analog process in QED_2) of the two theories. The QED_2 amplitude is computed from the bosonized version of the model while the QCD_4 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 QED_2 is structurally identical to the vector meson exchange contribution in QCD_4. Also it is shown that the QED_2 amplitude computed at tree level is a reasonable approximation to the known exact strong coupling solution.

#### Repository Citation

Schechter, Joseph; Delphenich, D.; and Vaidya, S., "Pion-Pion Scattering in Two Dimensions" (1998). *Physics*. 297.

https://surface.syr.edu/phy/297

#### Source

Harvested from Arxiv.org

## Additional Information

17 pages, 1 figure, LaTex. Typos and references corrected. Discussion of KSRF formula changed More information available at http://arxiv.org/abs/hep-ph/9806349