Critical scaling at zero virtuality in QCD

Romuald A. Janik; Maciej A. Nowak; Gábor Papp; Ismail Zahed

doi:10.1016/s0370-2693(98)01498-1

Critical scaling at zero virtuality in QCD

Romuald A. Janik
, Maciej A. Nowak
, Gábor Papp
, Ismail Zahed

Physics and Astronomy

CEA Saclay
Jagiellonian University in Kraków
GSI Helmholtz Centre for Heavy Ion Research
Heidelberg University
Eötvös Loránd University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We show that at the critical point of chiral random matrix modes, novel scaling laws for the inverse moments of the eigenvalues are expected. We evaluate explicitly the pertinent microscopic spectral density, and find it in agreement with numerical calculations. We suggest that similar sum rules are of relevance to QCD at the critical temperature, and even above if the transition is amenable to a Ginzburg-Landau description.

Original language	English
Pages (from-to)	9-14
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	446
Issue number	1
DOIs	https://doi.org/10.1016/s0370-2693(98)01498-1
State	Published - 1999

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title = "Critical scaling at zero virtuality in QCD",

abstract = "We show that at the critical point of chiral random matrix modes, novel scaling laws for the inverse moments of the eigenvalues are expected. We evaluate explicitly the pertinent microscopic spectral density, and find it in agreement with numerical calculations. We suggest that similar sum rules are of relevance to QCD at the critical temperature, and even above if the transition is amenable to a Ginzburg-Landau description.",

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AU - Janik, Romuald A.

AU - Nowak, Maciej A.

AU - Papp, Gábor

AU - Zahed, Ismail

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Y1 - 1999

N2 - We show that at the critical point of chiral random matrix modes, novel scaling laws for the inverse moments of the eigenvalues are expected. We evaluate explicitly the pertinent microscopic spectral density, and find it in agreement with numerical calculations. We suggest that similar sum rules are of relevance to QCD at the critical temperature, and even above if the transition is amenable to a Ginzburg-Landau description.

AB - We show that at the critical point of chiral random matrix modes, novel scaling laws for the inverse moments of the eigenvalues are expected. We evaluate explicitly the pertinent microscopic spectral density, and find it in agreement with numerical calculations. We suggest that similar sum rules are of relevance to QCD at the critical temperature, and even above if the transition is amenable to a Ginzburg-Landau description.

UR - https://www.scopus.com/pages/publications/0003092959

U2 - 10.1016/s0370-2693(98)01498-1

DO - 10.1016/s0370-2693(98)01498-1

M3 - Article

AN - SCOPUS:0003092959

SN - 0370-2693

VL - 446

SP - 9

EP - 14

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

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

IS - 1

ER -

Critical scaling at zero virtuality in QCD

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