Graphical Structure of Hadronization and Factorization in Hard Collisions

TL;DR

This paper explores the structure of hadronization models in QCD, establishing constraints for their self-consistency and linking them to string-like hadronization, emphasizing the role of non-conserving momentum vertices.

Contribution

It provides general constraints on multiperipheral models of hadronization, connecting their structure to space-time dynamics and string-like behavior in QCD.

Findings

Models must have momentum non-conserving vertices when formulated as multiperipheral.

Constraints ensure the models are self-consistent and physically meaningful.

String-like hadronization can be effectively implemented within these models.

Abstract

Models of hadronization of hard jets in QCD are often presented in terms of Feynman-graph structures that can be thought of as effective field theory approximations to dynamical non-perturbative physics in QCD. Such models can be formulated as a kind of multiperipheral model. We obtain general constraints on such models in order for them to be self-consistent, and we relate the constraints to the space-time structure of hadronization. We show that appropriate models can be considered as implementing string-like hadronization. When the models are put in a multiperipheral form, the effective vertices and/or lines must be momentum non-conserving: they take 4-momentum from the external string-like field.