Phase diagram of QCD chaos in linear sigma models and holography

TL;DR

This paper constructs a chaos phase diagram for QCD-like theories using linear sigma models and holography, revealing how chaos depends on parameters like energy, quark mass, and coupling constants.

Contribution

It introduces a novel chaos phase diagram for QCD, connecting chaos to potential maxima and analyzing effects of N_c and lambda using two different models.

Findings

Chaos diminishes with increasing N_c and lambda.

Chaos originates at the maximum of the potential.

Scaling law simplifies the analysis of chaos in QCD models.

Abstract

Measuring chaos of QCD-like theories is a challenge for formulating a novel characterization of quantum gauge theories. We define a chaos phase diagram of QCD allowing us to locate chaos in the parameter space of energy of homogeneous meson condensates and the QCD parameters such as pion/quark mass. We draw the chaos phase diagrams obtained in two ways: first, by using a linear sigma model, varying parameters of the potential, and second, by using the D4/D6 holographic QCD, varying the number of colors $N_c$ and the 't Hooft coupling constant $\lambda$. A scaling law drastically simplifies our analyses, and we discovered that the chaos originates in the maximum of the potential, and larger $N_c$ or larger $\lambda$ diminishes the chaos.