Dispersion Relations in Quantum Chromodynamics

Abstract

Dispersion relations for the scattering of hadrons are considered within the framework of Quantum Chromodynamics. It is argued that the original methods of proof remain applicable. The setting and the spectral conditions are provided by an appropriate use of the BRST cohomology. Confinement arguments are used in order to exclude quarks and gluons from the physical subspace. Local, BRST-invariant hadron fields are considered as leading terms in operator product expansions for products of fundamental fields. The hadronic amplitudes have neither ordinary nor anomalous thresholds which are directly associated with the underlying quark-gluon-structure. Proofs involving the Edge of the Wedge Theorem and analytic completion are discussed briefly.