Modeling Confinement in Analogy with Black Holes

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.