### Abstract

At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above T_{c} the lowest part of the spectrum consists of localized modes that obey Poisson statistics. An interesting implication of this is that as the system crosses T_{c} from above, the spectral statistics at λ = 0 changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

Original language | English |
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Article number | 214 |

Journal | Proceedings of Science |

Volume | Part F130500 |

Publication status | Published - Jan 1 2014 |

Event | 32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: Jun 23 2014 → Jun 28 2014 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*Part F130500*, [214].

**The chiral transition as an Anderson transition.** / Giordano, Matteo; Katz, S.; Kovács, T.; Pittler, Ferenc.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. Part F130500, 214.

}

TY - JOUR

T1 - The chiral transition as an Anderson transition

AU - Giordano, Matteo

AU - Katz, S.

AU - Kovács, T.

AU - Pittler, Ferenc

PY - 2014/1/1

Y1 - 2014/1/1

N2 - At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above Tc the lowest part of the spectrum consists of localized modes that obey Poisson statistics. An interesting implication of this is that as the system crosses Tc from above, the spectral statistics at λ = 0 changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

AB - At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above Tc the lowest part of the spectrum consists of localized modes that obey Poisson statistics. An interesting implication of this is that as the system crosses Tc from above, the spectral statistics at λ = 0 changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

UR - http://www.scopus.com/inward/record.url?scp=85030094297&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030094297&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85030094297

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 214

ER -