FIRST AND SECOND FACTORIZATION IN A DUAL MULTIPARTICLE THEORY WITH NONLINEAR TRAJECTORIES.
Seattle (USA). Lab. of Radiation Ecology Washington Univ., S Yu, PA (United States). Dept. of Chemical and Petroleum Engineering Pittsburgh Univ., M Baker, D Coon · 1972
The N-point tree graphs of a dual resonance theory with nonlinear trajectorie s are factorized.The factorizati on procedure applies equally well with the external lines on or off the mass shell.The particle spectrum of the theory is found to have a degeneracy of approxima tely 6 for the 14 level.Since the trajectory is logarithmic , the asymptotic density of levels grows only as some power of the mass.The techniques used in first factorizati on are applied to second factorizati on to arrive at an amplitude for processes involving two external particles with nonzero spins.Two sets of linear dependence relations among the amplitudes obtained by factorizati on are proven.