Modeling Confinement in Analogy with Black Holes

TL;DR

This paper draws an analogy between quark confinement in QCD and black hole physics by modeling both as solitons in a Carrollian scalar field theory, revealing new insights into confinement and potential observable effects.

Contribution

It introduces a novel correspondence between QCD confinement and black hole interiors using effective actions in the Carrollian regime, highlighting the horizon as the hadron boundary.

Findings

QCD and black hole interiors can be described as solitons at one-loop.

Confinement in QCD is analogous to black hole confinement.

Higher-order corrections may lead to observable effects like deconfinement.

Abstract

The confinement of quarks is analyzed by establishing a correspondence between the effective actions inside a black hole and the QCD action, formulated as a scalar field theory in the Carrollian regime. We first demonstrate that both QCD (in the instanton-dominance limit) and the interior of a black hole can be described at one-loop as the effective action of a soliton in the Carrollian limit. At one-loop, QCD confinement is shown to be entirely analogous to confinement within a black hole, with the event horizon acting as the hadron radius. Higher-order corrections to the effective action do not destabilize the solitons but may produce subtle observable effects, such as deconfinement or a partial resolution to the information loss problem.