New Families of Scaling Multiparticle Distributions

TL;DR

This paper introduces a new family of scaling solutions called delta-scaling in quantum chromodynamics, extending existing models to include non-perturbative effects and applying these concepts to experimental data.

Contribution

It presents the derivation of delta-scaling solutions in QCD that generalize previous multiplicity distribution laws, incorporating non-perturbative dissipation effects.

Findings

Derivation of delta-scaling solutions in QCD

Application to p-pbar collision data

Discussion of relevance to phase transition theory

Abstract

Recently equations for the generating functional in the perturbative quantum chromodynamics (QCD) have been extended by including the non-perturbative dissipation in QCD jets. The resulting equations have been solved rigorously and new family of scaling solutions, the so-called delta - scaling, generalizing the well-known Kubo-Nielsen-Olesen scaling law for hadron multiplicity distributions have been found. The relevance of delta - scaling is discussed in the Landau - Ginzburg theory of phase transitions. Preliminary application of these ideas to the p{\bar p} data of the UA5 Collaboration is presented.