Title

Pion-Pion Scattering in Two Dimensions

Author(s)/Creator(s)

Joseph Schechter, Department of Physics, Syracuse University, Syracuse, NYFollow
D. Delphenich, Syracuse UniversityFollow
S. Vaidya, Syracuse UniversityFollow

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.

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

Recommended Citation

Schechter, Joseph; Delphenich, D.; and Vaidya, S., "Pion-Pion Scattering in Two Dimensions" (1998). Physics - All Scholarship. 297.
https://surface.syr.edu/phy/297

Source

Harvested from Arxiv.org