Asymptotic Regimes of Hadron Scattering in QCD

TL;DR

This paper explores the high-energy behavior of hadron scattering amplitudes in QCD, showing that pure gluodynamics cannot produce non-decreasing cross-sections, but the presence of massive quarks can alter this outcome, with implications of infrared fixed points.

Contribution

It analyzes asymptotic regimes of hadron scattering in QCD, highlighting the impact of quark masses and infrared fixed points on scattering behavior.

Findings

Pure gluodynamics leads to decreasing cross-sections at high energy.

Massive quarks can prevent the cross-sections from decreasing.

Infrared fixed points influence the asymptotic behavior of scattering amplitudes.

Abstract

Possible modes of asymptotic behavior of the amplitudes of hadron scattering in QCD are discussed. It is shown that the condition of triviality of the scattering matrix when the interaction of the fundamental fields is turned off leads to the impossibility of cross-sections that do not decrease with energy in the case of pure gluodynamics. It is also shown that in the presence of at least one type of massive quark the ban is lifted. Some consequences of the presence of an infrared fixed point are also discussed.