Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models

We investigate the eigenvalue spectrum of the stagerred Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, confirming its predictions for weak and str...

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Bibliographic Details
Main Authors: Akemann, Gernot (Author) , Bittner, Elmar (Author) , Lombardo, Maria Paola (Author) , Markum, Harald (Author) , Pullirsch, Rainer (Author)
Format: Article (Journal)
Language:English
Published: 14 January 2005
In: Nuclear physics. Proceedings supplements
Year: 2005, Volume: 140, Pages: 568-570
ISSN:1873-3832
DOI:10.1016/j.nuclphysbps.2004.11.301
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysbps.2004.11.301
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0920563204008084
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Author Notes:Gernot Akemann, Elmar Bittner, Maria-Paola Lombardo, Harald Markum, Rainer Pullirsch
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Summary:We investigate the eigenvalue spectrum of the stagerred Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, confirming its predictions for weak and strong non-Hermiticity. They differ from the QCD symmetry class with three colors by a level repulsion from both the real and imaginary axis.
Item Description:Gesehen am 13.10.2022
Physical Description:Online Resource
ISSN:1873-3832
DOI:10.1016/j.nuclphysbps.2004.11.301