scholarly journals Determination of $F_{\pi}$ from distributions of Dirac operator eigenvalues with imaginary density

2008 ◽  
Author(s):  
Gernot Akemann
Keyword(s):  
Dirac Operator ◽  
Operator Eigenvalues

scholarly journals Determination of chiral condensate from low-lying eigenmodes of Mobius domain-wall Dirac operator

2017 ◽  
Author(s):  
Shoji Hashimoto ◽  
Guido Cossu ◽  
Hidenori Fukaya ◽  
Takashi Kaneko ◽  
Jun-Ichi Noaki
Keyword(s):  
Domain Wall ◽  
Dirac Operator ◽  
Chiral Condensate

scholarly journals Distributions of Dirac operator eigenvalues

2004 ◽  
Vol 583 (1-2) ◽  
pp. 199-206 ◽  
Author(s):  
G. Akemann ◽  
P.H. Damgaard
Keyword(s):  
Dirac Operator ◽  
Operator Eigenvalues

scholarly journals Minimally doubled fermions and spontaneous chiral symmetry breaking

2018 ◽  
Vol 175 ◽  
pp. 04002 ◽  
Author(s):  
Rudina Osmanaj (Zeqirllari) ◽  
Dafina Hyka (Xhako)
Keyword(s):  
Symmetry Breaking ◽  
Dirac Operator ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Low Energy ◽  
Reliable Determination ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Energy Physics

Chiral symmetry breaking in massless QCD is a very important feature in the current understanding of low energy physics. Low - lying Dirac modes are suitable to help us understand the spontaneous chiral symmetry breaking, since the formation of a non zero chiral condensate is an effect of their accumulation near zero. The Banks – Casher relation links the spectral density of the Dirac operator to the condensate with an identity that can be read in both directions. In this work we propose a spectral method to achieve a reliable determination of the density of eigenvalues of Dirac operator near zero using the Gauss – Lanczos quadrature. In order to understand better the dynamical chiral symmetry breaking and use the method we propose, we have chosen to work with minimally doubled fermions. These kind of fermions have been proposed as a strictly local discretization of the QCD fermions action, which preserves chiral symmetry at finite cut-off. Being chiral fermions, is easier to work with them and their low - lying Dirac modes and to understand the dynamical spontaneous chiral symmetry breaking.

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

2005 ◽  
Vol 140 ◽  
pp. 568-570 ◽  
Author(s):  
Gernot Akemann ◽  
Elmar Bittner ◽  
Maria-Paola Lombardo ◽  
Harald Markum ◽  
Rainer Pullirsch
Keyword(s):  
Dirac Operator ◽  
Matrix Models ◽  
Chemical Potential ◽  
Density Profiles ◽  
Operator Eigenvalues

scholarly journals Overlap Dirac operator, eigenvalues and random matrix theory

2000 ◽  
Vol 83-84 ◽  
pp. 446-448
Author(s):  
Robert G. Edwards ◽  
Urs M. Heller ◽  
Joe Kiskis ◽  
Rajamani Narayanan
Keyword(s):  
Dirac Operator ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Matrix Theory ◽  
Operator Eigenvalues
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