Gluon Loops in the Inelastic Processes in QCD

TL;DR

This paper reveals a new mass generation mechanism in inelastic QCD processes through gluon exchange, showing formal equivalence to massive particle exchange and similar cross-section growth mechanisms as in scalar theories.

Contribution

It introduces a novel mass generation mechanism in inelastic QCD processes and demonstrates its equivalence to massive particle exchange, expanding understanding of non-Abelian gauge theories.

Findings

Gluon exchange with two massless gluons is equivalent to massive particle exchange.

A new mass generation mechanism in inelastic processes is identified.

Similar cross-section growth mechanisms are found in QCD perturbation theory and scalar theories.

Abstract

It is shown that inelastic process of the exchange with two massless gluons is formally equivalent to the process of the exchange with one massive particle. Thus, using the Laplace's method, a new mechanism of mass generation in inelastic processes is discovered, which is described by the non-Abelian gauge theory. Furthermore, it is shown that in the QCD perturbation theory, the same mechanisms of cross-sections growth take place, similar to the ones discovered before in the effective scalar theories.