Pérez García, DavidTierz, Miguel2023-06-192023-06-192014-062160-330810.1103/PhysRevX.4.021050https://hdl.handle.net/20.500.14352/33615By using random matrix models, we uncover a connection between the low-energy sector of four-dimensional QCD at finite volume and the Heisenberg XX model in a 1D spin chain. This connection allows us to relate crucial properties of QCD with physically meaningful properties of the spin chain, establishing a dictionary between both worlds. For the spin chain, we predict a third-order phase transition and a Tracy-Widom law in the transition region. We also comment on possible numerical implications of the connection as well as on possible experimental implementations.engAtribución-NoComercial 3.0 Españahttps://creativecommons.org/licenses/by-nc/3.0/es/journal articlehttp://journals.aps.org/prx/pdf/10.1103/PhysRevX.4.021050http://www.aps.org/open access517Lattice gauge-theoriesAtomic Mott insulatorOptical latticesPhase-transitionDirac operatorRandom-walksExpansionsSpectrumSystemsPhysicsAnálisis matemático1202 Análisis y Análisis Funcional