Infrared behaviour and the bare Pomeron intercept in a Reggeon Field Theory including the Pomeron and the f-pole

An extension of the critical Reggeon Field Theory that includes both the Pomeron and the f-Reggeon fields is constructed. The quantum numbers of the f-Reggeon allows specific Reggeon-Pomeron couplings that have not been considered previously in standard works on secondary trajectories. We show the existence of a single fully stable fixed point among a total of 11 points. Unfortunately this point does not satisfy the factorization requirements imposed by the f-dominance of the Pomeron hypothesis and, in consequence, the critical Pomeron can not be f-dominated in a P+f model. We have also evaluated the value of the intercept of the bare critical Pomeron, using the method of integral representations of the propagators. The value obtained is clearly higher than the one previously obtained without the f-Pomeron interplay. With an adequate choice of the values of the bare coupling constants its value is in good agreement with the phenomenological one. © 1982 Springer-Verlag.