TY - JOUR
T1 - Pomeron-Reggeon relationship according to the topological expansion
AU - Chew, G. F.
AU - Rosenzweig, C.
PY - 1975
Y1 - 1975
N2 - The nature of the Pomeron and related effects are studied within the framework of Veneziano's topological expansion. At the second, or cylinder, level it is found that no new poles are generated but that first-level (planar) poles with I=0 are shifted by the cylinder, the shifts being in opposite directions for positive and negative charge conjugation. The planar f, in particular, is shifted upward and may be interpreted near t=0 as the Pomeron with couplings lying roughly midway between the ideal mixing of a planar f and an SU3 singlet. The Pomeron intercept and couplings (mixing coefficients) together with corresponding intercepts and couplings for, f, and are semiquantitatively related through a single parameter to the properties of -A2. In the positive-t-physical-particle region corresponding relations successfully correlate the breaking of the Iizuka-Okubo-Zweig rule to the - mass difference. Comparison of the cylinder shift in this large-t region to that near t=0 reveals the phenomenon of "asymptotic planarity" the cylinder perturbation dying out rapidly with increasing t. It is pointed out that the small Pomeron slope as well as certain physical effects attributed in field theory to asymptotic freedom are consequences of asymptotic planarity.
AB - The nature of the Pomeron and related effects are studied within the framework of Veneziano's topological expansion. At the second, or cylinder, level it is found that no new poles are generated but that first-level (planar) poles with I=0 are shifted by the cylinder, the shifts being in opposite directions for positive and negative charge conjugation. The planar f, in particular, is shifted upward and may be interpreted near t=0 as the Pomeron with couplings lying roughly midway between the ideal mixing of a planar f and an SU3 singlet. The Pomeron intercept and couplings (mixing coefficients) together with corresponding intercepts and couplings for, f, and are semiquantitatively related through a single parameter to the properties of -A2. In the positive-t-physical-particle region corresponding relations successfully correlate the breaking of the Iizuka-Okubo-Zweig rule to the - mass difference. Comparison of the cylinder shift in this large-t region to that near t=0 reveals the phenomenon of "asymptotic planarity" the cylinder perturbation dying out rapidly with increasing t. It is pointed out that the small Pomeron slope as well as certain physical effects attributed in field theory to asymptotic freedom are consequences of asymptotic planarity.
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U2 - 10.1103/PhysRevD.12.3907
DO - 10.1103/PhysRevD.12.3907
M3 - Article
AN - SCOPUS:35949036149
SN - 1550-7998
VL - 12
SP - 3907
EP - 3920
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
IS - 12
ER -