Deconfinement transition as black hole formation by the condensation of QCD strings

TL;DR

This paper proposes that the deconfinement transition in large-N Yang-Mills theory can be understood as the formation of a black hole through the condensation of long, self-intersecting QCD strings, linking gauge theory and string theory concepts.

Contribution

It introduces a novel interpretation of deconfinement as black hole formation via string condensation, supported by lattice gauge theory, matrix models, and an analytic formula for the transition temperature.

Findings

Derived an analytic formula for deconfinement temperature in strong coupling

Confirmed the formula through numerical lattice gauge theory simulations

Argued that simple matrix models can capture black hole formation mechanisms

Abstract

We argue that the deconfinement transition of large-N Yang-Mills theory is the condensation of very long and self-intersecting chromo-electric flux strings (QCD string), which is analogous to the formation of a black hole in string theory. We do this by using lattice gauge theory and matrix models. As evidence, we derive an analytic formula for the deconfinement temperature in the strong coupling limit and confirm it numerically. Dual gravity descriptions interpreted in this manner should make it possible to understand the details of the formation of black holes in terms of fundamental strings. We argue that very simple matrix models capture the essence of the formation of black holes.