Summary Talk by Fox I

1. Summary Talk by Fox I • S-Matrix theory including unitarity, analyticity, crossing, duality, Reggeonsis correct but incomplete • Reggeons and particles are not Born terms and so perturbative approaches adding effects such as final state interactions can be misleading • Probably some channels are better than others! • Be careful with formalisms that do not build in these constraints • Basic amplitude for studying peripherally produced particles is Beam + Reggeon Final State • Should try two component duality • Regge dual to Regge • Pomeron dual to background • Constrain fits with Finite Energy Sum Rules • Should redo Regge fits to production – ignoring cuts • Should look at simple production reactions such as πN ππ N to verify approach

2. Summary Talk by Fox II • S-Matrix issues typically orthogonal to spectrum/Quark model issues although may be Glueballs and Pomeron have special relation • Important cases where no Reggeon exchanges such as backward π+π-π+π- scattering • Special folk lore as in π exchange conspiracy • Daughters and exchange degeneracy true but approximate • Models like Deck effect imply that π exchange should be used for high partial waves. Expect to see additional resonances such as a1 “produced by π force” • MapReduce and Clouds of (GPGPU enhanced) nodes good computing model