### Abstract

We use the law of addition in random matrix theory to analyze the spectral distributions of a variety of chiral random matrix models as inspired from QCD whether through symmetries or models. In terms of the Blue's functions recently discussed by Zee, we show that most of the spectral distributions in the macroscopic limit and the quenched approximation, follow algebraically from the discontinuity of a pertinent solution to a cubic (Cardano) or a quartic (Ferrari) equation. We use the end-point equation of the energy spectra in chiral random matrix models to argue for novel phase structures, in which the Dirac density of states plays the role of an order parameter.

Original language | English |
---|---|

Pages (from-to) | 137-143 |

Number of pages | 7 |

Journal | Physics Letters B |

Volume | 389 |

Issue number | 1 |

DOIs | |

Publication status | Published - Dec 5 1996 |

### Fingerprint

### Keywords

- Dirac spectrum
- Nonperturbative QCD
- Phase transitions
- Random matrix models

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*389*(1), 137-143. https://doi.org/10.1016/S0370-2693(96)01238-5

**QCD-inspired spectra from Blue's functions.** / Nowak, Maciej A.; Papp, G.; Zahed, Ismail.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 389, no. 1, pp. 137-143. https://doi.org/10.1016/S0370-2693(96)01238-5

}

TY - JOUR

T1 - QCD-inspired spectra from Blue's functions

AU - Nowak, Maciej A.

AU - Papp, G.

AU - Zahed, Ismail

PY - 1996/12/5

Y1 - 1996/12/5

N2 - We use the law of addition in random matrix theory to analyze the spectral distributions of a variety of chiral random matrix models as inspired from QCD whether through symmetries or models. In terms of the Blue's functions recently discussed by Zee, we show that most of the spectral distributions in the macroscopic limit and the quenched approximation, follow algebraically from the discontinuity of a pertinent solution to a cubic (Cardano) or a quartic (Ferrari) equation. We use the end-point equation of the energy spectra in chiral random matrix models to argue for novel phase structures, in which the Dirac density of states plays the role of an order parameter.

AB - We use the law of addition in random matrix theory to analyze the spectral distributions of a variety of chiral random matrix models as inspired from QCD whether through symmetries or models. In terms of the Blue's functions recently discussed by Zee, we show that most of the spectral distributions in the macroscopic limit and the quenched approximation, follow algebraically from the discontinuity of a pertinent solution to a cubic (Cardano) or a quartic (Ferrari) equation. We use the end-point equation of the energy spectra in chiral random matrix models to argue for novel phase structures, in which the Dirac density of states plays the role of an order parameter.

KW - Dirac spectrum

KW - Nonperturbative QCD

KW - Phase transitions

KW - Random matrix models

UR - http://www.scopus.com/inward/record.url?scp=0000791538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000791538&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(96)01238-5

DO - 10.1016/S0370-2693(96)01238-5

M3 - Article

VL - 389

SP - 137

EP - 143

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -