Scattering Amplitudes for the Thirring Model
Abstract
The lowest-order covariant equation for the two-particle scattering amplitude in the Thirring model is derived and solved. The results are compared with the exact amplitude, which can be computed by means of Glaser's techniques. The approximate equation contains many spurious solutions which have reasonable asymptotic behavior. Furthermore, some important features of the exact results are not reproduced in any of the ladder-approximation amplitudes.
- Publication:
-
Physical Review
- Pub Date:
- September 1958
- DOI:
- 10.1103/PhysRev.111.1433
- Bibcode:
- 1958PhRv..111.1433S