On TGD Counterparts of Twistor Amplitudes: Part II

Abstract

This article is the second part of the article devoted to the construction of scattering amplitudes in the TGD framework based on the twistor lift of TGD. External particles are Galois singlets consisting of off-mass shell quarks with mass squared values coming as roots of the polynomial $P$ characterizing the interaction region. External particles are characterized by polynomials P_i satisfying P_i (0)=0. P is identified as the functional composite of P_i since it inherits the masses of incoming particles as their roots. This allows only cyclic permutations of P_i. The scattering event is essentially a re-combination of incoming Galois singlets to new Galois singlets and quarks propagate freely: hence OZI rule generalizes. Also a connection with the dual resonance models emerges.