Is the Chiral Phase Transition Induced by a Metal-Insulator Transition?
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2007
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| _version_ | 1876479495557349376 |
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| author | Antonio M. García-García |
| author_facet | Antonio M. García-García |
| contents | Is the Chiral Phase Transition Induced by a Metal-Insulator Transition? Antonio M. García-García James C. Osborn Física, Astronomía y Matemáticas Metal Localization Level statistics Anderson transition insulator transition We investigate the QCD Dirac operator with gauge configurations given by a liquid of instantons in theregion of temperatures about the chiral phase transition. Both the quenched and unquenched cases are examinedin detail. We present evidence of a localization transition in the low lying modes of the Dirac operator aroundthe same temperature as the chiral phase transition. Thus both level statistics and eigenvectors of the QCDDirac operator at the chiral phase transition have similar properties than those of a disordered conductor at themetal-insulator transition. This strongly suggests the phenomenon of Anderson localization (localization bydestructive quantum interference) is the leading physical mechanism in the restoration of the chiral symmetry.Finally we argue that our findings are not in principle restricted to the ILM approximation and may also befound in lattice simulations. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437214 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.37 |
| format | Artículo científico |
| id | redalyc_46437214 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Is the Chiral Phase Transition Induced by a Metal-Insulator Transition? Antonio M. García-García Física, Astronomía y Matemáticas Metal Localization Level statistics Anderson transition insulator transition Is the Chiral Phase Transition Induced by a Metal-Insulator Transition? Antonio M. García-García James C. Osborn Física, Astronomía y Matemáticas Metal Localization Level statistics Anderson transition insulator transition We investigate the QCD Dirac operator with gauge configurations given by a liquid of instantons in theregion of temperatures about the chiral phase transition. Both the quenched and unquenched cases are examinedin detail. We present evidence of a localization transition in the low lying modes of the Dirac operator aroundthe same temperature as the chiral phase transition. Thus both level statistics and eigenvectors of the QCDDirac operator at the chiral phase transition have similar properties than those of a disordered conductor at themetal-insulator transition. This strongly suggests the phenomenon of Anderson localization (localization bydestructive quantum interference) is the leading physical mechanism in the restoration of the chiral symmetry.Finally we argue that our findings are not in principle restricted to the ILM approximation and may also befound in lattice simulations. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437214 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.37 |
| title | Is the Chiral Phase Transition Induced by a Metal-Insulator Transition? |
| topic | Física, Astronomía y Matemáticas Metal Localization Level statistics Anderson transition insulator transition |
| url | https://www.redalyc.org/articulo.oa?id=46437214 |