Multiperipheral dynamics beyond models

The authors examine the physical content and the formal apparatus of multiperipheralism, showing that their essence is an upper bound with suitable decrease and factorization properties. From this bound, they derive an exact factorized representation for the production amplitudes leading to a rigorous multiperipheral integral equation. They give the exact formulae for the total cross-section and the n- particle inclusive distributions. The multiperipheral models studied so far appear as possible approximations of their equations. (33 refs) .