Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD

Autor: David Pérez-García, Miguel Tierz
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Physical Review X, Vol 4, Iss 2, p 021050 (2014)
Druh dokumentu: article
ISSN: 2160-3308
DOI: 10.1103/PhysRevX.4.021050
Popis: 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.
Databáze: Directory of Open Access Journals