%0 Journal Article
%A Pérez García, David
%A Tierz, Miguel
%T Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD
%D 2014
%@ 2160-3308
%U https://hdl.handle.net/20.500.14352/33615
%X By 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.
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