Explicit Chiral Symmetry Breaking as a Premise of the Cross-Sections' Rise

TL;DR

The paper argues that explicit chiral symmetry breaking in QCD is essential for hadronic cross-sections to increase indefinitely at high energies, otherwise they diminish.

Contribution

It establishes a theoretical link between chiral symmetry breaking and the high-energy behavior of hadronic cross-sections in QCD.

Findings

Explicit chiral symmetry breaking is necessary for rising cross-sections.

Without it, cross-sections tend to zero at high energies.

Chiral symmetry breaking influences the asymptotic behavior of hadronic interactions.

Abstract

We argue that if QCD yields a theory of interacting hadrons then explicit chiral symmetry breaking is a necessary condition for infinitely rising cross-sections. Otherwise cross-sections go to zero at high energies.