Analytic Multi-Regge Theory and the Pomeron in QCD

Technical Report · Thu May 10 04:00:00 EDT 1990

DOI:https://doi.org/10.2172/7002400· OSTI ID:7002400

White, A R

The formalism of Analytic Multi-Regge Theory is developed as a basis for the study of abstract Critical and Super-Critical Pomeron high-energy behavior and for related studies of the Regge behavior of spontaneously broken gauge theories and the Pomeron in QCD. Asymptotic domains of analyticity for multiparticle amplitudes are shown to follow from properties of Field Theory and S-Matrix Theory. General asymptotic dispersion relations are then derived for such amplitudes in which the spectral components are described by the graphical formalism of hexographs. Further consequences are distinct Sommerfeld-Watson representations for each hexograph spectral component, together with a complete set of angular momentum plane unitarity equations which control the form of all multi-Regge amplitudes. Because of this constraint of Reggeon Unitarity'' the Critical Pomeron solution of the Reggeon Field Theory gives the only known non-trivial'' unitary high-energy S-Matrix. By exploiting the full structure of multi-Regge amplitudes as the Pomeron becomes Super-Critical, the simultaneous modification of hadrons and the Pomeron can be studies. The result is a completely consistent description of the Super-Critical Pomeron appearing in hadron scattering. Reggeon Unitarity is satisfied in the Super-Critical Phase by the appearance of a massive gluon'' (Reggeised vector particle) coupling pair-wise to the Pomeron.

• Research Organization: Argonne National Lab., IL (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7002400
• Report Number(s): ANL-HEP-PR-90-28; ON: DE90012153
• Country of Publication: United States
• Language: English

Related Subjects

645200* -- High Energy Physics-- Particle Interactions & Properties-Theoretical
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
MATRICES
MESONS
POMERANCHUK PARTICLES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
REGGE CALCULUS
S MATRIX
SCATTERING
SOMMERFELD-WATSON THEORY