scholarly journals Determination of the chiral condensate from QCD Dirac spectrum on the lattice

2011 ◽  
Vol 83 (7) ◽  
Author(s):  
H. Fukaya ◽  
S. Aoki ◽  
T. W. Chiu ◽  
S. Hashimoto ◽  
T. Kaneko ◽  
...  
Keyword(s):  
Chiral Condensate ◽  
Dirac Spectrum

scholarly journals Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2 + 1-flavor QCD

2016 ◽  
Vol 2016 (9) ◽  
pp. 093B06 ◽  
Author(s):  
Guido Cossu ◽  
Hidenori Fukaya ◽  
Shoji Hashimoto ◽  
Takashi Kaneko ◽  
Jun-Ichi Noaki
Keyword(s):  
Chiral Condensate ◽  
Dirac Spectrum

scholarly journals Chiral condensate and Dirac spectrum of one-and two-flavor QCD at nonzero θ-angle

2018 ◽  
Vol 175 ◽  
pp. 04004 ◽  
Author(s):  
Mario Kieburg ◽  
Jacobus Verbaarschot ◽  
Tilo Wettig
Keyword(s):  
Dirac Operator ◽  
Quark Mass ◽  
Imaginary Axis ◽  
Chiral Condensate ◽  
Dirac Spectrum ◽  
Quark Masses ◽  
Zero Modes

In previous work we showed that the chiral condensate of one-flavor QCD exhibits a Silver Blaze phenomenon when the quark mass crosses m = 0: the chiral condensate remains constant while the quark mass crosses the spectrum of the Dirac operator, which is dense on the imaginary axis. This behavior can be explained in terms of exponentially large cancellations between contributions from the zero modes and from the nonzero modes when the quark mass is negative. In these proceedings we show that a similar Silver Blaze phenomenon takes places for QCD with one flavor and arbitrary θ- angle, and for QCD with two flavors with different quark masses m1 and m2. In the latter case the chiral condensate remains constant when m1 crosses zero at fixed m2 > 0 until the Dashen point m1 = –m2 is reached, where the chiral condensate has a discontinuity. In terms of contributions from the Dirac spectrum the shift of the discontinuity from m1 = 0 to m1 = -m2 also arises from exponentially large cancellations between the zero and nonzero modes when m1m2 < 0. All calculations are performed in the microscopic or ε-domain of QCD. Results for arbitrary θ-angle are discussed as well.

scholarly journals The chiral condensate from the Dirac spectrum in BSM gauge theories

2014 ◽  
Author(s):  
Kieran Holland ◽  
Zoltan Fodor ◽  
Julius Kuti ◽  
Daniel Nogradi ◽  
Chik Him Wong
Keyword(s):  
Gauge Theories ◽  
Chiral Condensate ◽  
Dirac Spectrum

scholarly journals Erratum: Determination of the Chiral Condensate from (2+1)-Flavor Lattice QCD [Phys. Rev. Lett.104, 122002 (2010)]

2010 ◽  
Vol 105 (15) ◽  
Author(s):  
H. Fukaya ◽  
S. Aoki ◽  
S. Hashimoto ◽  
T. Kaneko ◽  
J. Noaki ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Chiral Condensate

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 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 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 ON THE ORDER OF THE DECONFINING TRANSITION IN Nf = 2 QCD

2005 ◽  
Vol 20 (19) ◽  
pp. 4579-4584 ◽  
Author(s):  
M. D'ELIA ◽  
A. DI GIACOMO ◽  
C. PICA
Keyword(s):  
Phase Diagram Of Qcd ◽  
Finite Size ◽  
Chiral Condensate ◽  
Scaling Analysis ◽  
Careful Study ◽  
Finite Size Scaling ◽  
Strong Indication ◽  
First Order ◽  
Chiral Transition

A careful study is made on the lattice of the phase diagram of QCD with two staggered flavors, to investigate the order of the chiral transition of Nf = 2 QCD. The specific heat and the susceptibility of the chiral condensate are determined for different spatial sizes of the system, and a finite size scaling analysis provides a determination of the (pseudo)critical indices. The result is a strong indication that the chiral transition is first order.

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