Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD
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, establi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/33615 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/33615 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Lattice gauge-theories Atomic Mott insulator Optical lattices Phase-transition Dirac operator Random-walks Expansions Spectrum Systems Physics Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | 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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