One-point correlators of conserved and non-conserved charges in QCD

TL;DR

This paper discusses the perturbative IR safety of one-point correlators of conserved charges in QCD, exploring their theoretical properties and phenomenological implications in particle decay processes.

Contribution

It introduces the analysis of one-point correlators of conserved and non-conserved charges in QCD, highlighting their IR safety and consistency constraints.

Findings

Conserved charge correlators are perturbatively IR safe in QCD.

Non-conserved charge densities obey infinite consistency constraints.

QCD operates near a critical point in the correlator parameter space.

Abstract

One-point correlators of conserved charges are argued to be perturbatively IR safe in QCD, which includes not only the density of energy, but also those of electric charge, isospin and baryon number. Theoretical and phenomenological aspects of the density matrix of one-point correlators are discussed in the context of the states produced by a chiral current, as in the decay of a polarized electroweak boson. Densities of some non-conserved charges such as energy with arbitrary non-negative powers, despite their incalculability, are shown to obey an infinite set of consistency constraints. QCD is observed to live near a kink in the allowed parameter space of one-point correlators.