scholarly journals The spectral density of the QCD Dirac operator and patterns of chiral symmetry breaking

1999 ◽  
Vol 560 (1-3) ◽  
pp. 259-282 ◽  
Author(s):  
D. Toublan ◽  
J.J.M. Verbaarschot
Keyword(s):  
Symmetry Breaking ◽  
Dirac Operator ◽  
Spectral Density ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking

scholarly journals CHIRAL SYMMETRY BREAKING AT NONZERO CHEMICAL POTENTIAL

2006 ◽  
Vol 21 (04) ◽  
pp. 859-864 ◽  
Author(s):  
J. C. Osborn ◽  
K. Splittorff ◽  
J. J. M. Verbaarschot
Keyword(s):  
Partition Function ◽  
Symmetry Breaking ◽  
Dirac Operator ◽  
Chiral Symmetry ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Zero Temperature ◽  
Dirac Spectrum

We consider chiral symmetry breaking at nonzero chemical potential and discuss the relation with the spectrum of the Dirac operator. We solve the so called Silver Blaze Problem that the chiral condensate at zero temperature does not depend on the chemical potential while this is not the case for the Dirac spectrum and the weight of the partition function.

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 A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber
Keyword(s):  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Vortex Model ◽  
Center Vortex ◽  
Vortex Detection

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

1D Mn(III) Coordination Polymers Exhibiting Chiral Symmetry Breaking and Weak Ferromagnetism

2021 ◽  
Author(s):  
Aoi Hara ◽  
Sotaro Kusumoto ◽  
Yoshihiro Sekine ◽  
Jack Harrowfield ◽  
Yang Kim ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Coordination Polymers ◽  
Chiral Symmetry Breaking ◽  
Weak Ferromagnetism ◽  
Chiral Ligands ◽  
One Dimensional

Mn(III) complexes with the non-chiral ligands, (E)-N-(2-((2-aminobenzylidene)amino)-2-methylpropyl)-5-X-2-hydroxybenzamide (HLX, X = H, Cl, Br, and I), crystallise as chiral conglomerates containing amide oxygen-bridged one-dimensional coordination polymers that exhibit weak ferromagnetism. The...

scholarly journals Chiral Symmetry Breaking during Crystallization: An Advection-Mediated Nonlinear Autocatalytic Process

2004 ◽  
Vol 93 (3) ◽  
Author(s):  
Julyan H. E. Cartwright ◽  
Juan Manuel García-Ruiz ◽  
Oreste Piro ◽  
C. Ignacio Sainz-Díaz ◽  
Idan Tuval
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Autocatalytic Process

scholarly journals Chiral symmetry breaking beyond BCS and theorem on the width of scalars

2008 ◽  
Author(s):  
P. Bicudo ◽  
George Rupp ◽  
Eef van Beveren ◽  
Pedro Bicudo ◽  
Brigitte Hiller ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking
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