Soft QCD path to the mass hierarchy

TL;DR

This paper explores a deterministic approach to QCD string quantization with a helix structure, linking causality to mass spectrum and particle quantum numbers, and discusses future developments to refine the model.

Contribution

It introduces a deterministic perspective to the QCD string model, addressing longstanding ambiguities and proposing new directions for understanding particle mass hierarchy and quantum numbers.

Findings

Deterministic QCD string model aligns with empirical data

Causality helps resolve Bose-Einstein correlation ambiguities

Proposes methods to eliminate soft collinear divergences

Abstract

The study of the quantization of the QCD string with the helix structure is put into the context of a decades-long discussion opposing the probabilistic and the deterministic interpretations of the quantum theory. The recent evolution of the string fragmentation model (to a large extent driven and confirmed by the empirical evidence), towards the deterministic point of view is recounted: the notion of causality not only paves a way to the study of mass spectrum, it also resolves a long-standing ambiguity about the nature of the so-called Bose-Einstein correlations. Two directions for the further development of the model are outlined: 1/ the elimination of soft collinear divergencies, 2/ the relation between the topological properties of the QCD string and the emergence of new particle types (quantum numbers).