scholarly journals Microscopic spectral density of the Dirac operator derived from Gaussian orthogonal and symplectic ensembles

2000 ◽  
Vol 62 (9) ◽  
Author(s):  
Christian Hilmoine ◽  
Rune Niclasen
Keyword(s):  
Dirac Operator ◽  
Spectral Density ◽  
Orthogonal And Symplectic Ensembles

scholarly journals Spectral density of the Dirac operator in two-flavor QCD

2015 ◽  
Vol 91 (5) ◽  
Author(s):  
Georg P. Engel ◽  
Leonardo Giusti ◽  
Stefano Lottini ◽  
Rainer Sommer
Keyword(s):  
Dirac Operator ◽  
Spectral Density

scholarly journals Spectral density of the QCD Dirac operator near zero virtuality

1993 ◽  
Vol 70 (25) ◽  
pp. 3852-3855 ◽  
Author(s):  
J. J. M. Verbaarschot ◽  
I. Zahed
Keyword(s):  
Dirac Operator ◽  
Spectral Density

scholarly journals Microscopic spectral density of the Dirac operator in quenched QCD

1999 ◽  
Vol 445 (3-4) ◽  
pp. 366-370 ◽  
Author(s):  
P.H. Damgaard ◽  
U.M. Heller ◽  
A. Krasnitz
Keyword(s):  
Dirac Operator ◽  
Spectral Density

scholarly journals EFFECTIVE LOW-ENERGY THEORIES AND QCD DIRAC SPECTRA

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1404-1415 ◽  
Author(s):  
D. TOUBLAN ◽  
J. J. M. VERBAARSCHOT
Keyword(s):  
Partition Function ◽  
Dirac Operator ◽  
Spectral Density ◽  
Random Matrix ◽  
Matrix Theory ◽  
Low Energy ◽  
Effective Theory ◽  
Kinetic Term ◽  
Dirac Spectrum ◽  
Energy Theory

We analyze the smallest Dirac eigenvalues by formulating an effective theory for the Dirac spectrum. We find that in a domain where the kinetic term of the effective theory can be ignored, the Dirac eigenvalues are distributed according to a Random Matrix Theory with the global symmetries of the QCD partition function. The kinetic term provides information on the slope of the average spectral density of the Dirac operator. In the second half of this lecture we interpret quenched QCD Dirac spectra (with eigenvalues scattered in the complex plane) in terms of an effective low energy theory.

On the spectral density of Euclidean Dirac operator in QCD

1993 ◽  
Vol 318 (3) ◽  
pp. 531-536 ◽  
Author(s):  
A.V. Smilga ◽  
J. Stern
Keyword(s):  
Dirac Operator ◽  
Spectral Density
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