Dynamic universality class of large-N gauge theories

TL;DR

This paper investigates the suppression of mode-mode coupling effects in large-N gauge theories within the AdS/CFT framework, explaining why certain dynamic critical phenomena are not observed in classical supergravity approximations.

Contribution

It reveals that mode-mode coupling effects are suppressed by 1/N^2 in large-N gauge theories, clarifying their absence in classical supergravity models.

Findings

Mode-mode coupling is suppressed by 1/N^2 in large-N gauge theories.

Classical supergravity cannot capture these suppressed effects.

Implications for understanding heavy-ion collision dynamics.

Abstract

In dynamic critical phenomena, singular behaviors appear not only in the order parameter but also in the other transport coefficients (due to the mode-mode coupling). However, this effect has not been observed in the AdS/CFT duality. We point out that this mode-mode coupling is suppressed by 1/N^2 in the large-N gauge theories which correspond to model H in the classification of Hohenberg and Halperin. Thus, the effect cannot be seen in the classical supergravity approximation. We illustrate this point using the example of the N=4 super-Yang-Mills theory at a finite chemical potential. We also discuss the implications of this result to heavy-ion collisions.