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 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.

NEARLY CONFORMAL GAUGE THEORIES ON THE LATTICE

2010 ◽  
Vol 25 (27n28) ◽  
pp. 5162-5174 ◽  
Author(s):  
ZOLTÁN FODOR ◽  
KIERAN HOLLAND ◽  
JULIUS KUTI ◽  
DÁNIEL NÓGRÁDI ◽  
CHRIS SCHROEDER
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Matrix Theory ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Theoretical Understanding ◽  
Conformal Window ◽  
Running Coupling ◽  
Conformal Gauge

We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU (3) color gauge group. We found chiral symmetry breaking (χSB) for all flavors between Nf = 4 and Nf = 12 with most of the results discussed here for Nf = 4, 8, 12 as we approach the conformal window. To identify χSB we apply several methods which include, within the framework of chiral perturbation theory, the analysis of the Goldstone spectrum in the p -regime and the spectrum of the fermion Dirac operator with eigenvalue distributions of random matrix theory in the ϵ-regime. Chiral condensate enhancement is observed with increasing Nf when the electroweak symmetry breaking scale F is held fixed in technicolor language. Important finite-volume consistency checks from the theoretical understanding of the SU(Nf) rotator spectrum of the δ-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window. Our work on the running coupling is presented separately.1

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 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 Chiral condensate in the deconfined phase of quenched gauge theories

2000 ◽  
Vol 61 (7) ◽  
Author(s):  
Robert G. Edwards ◽  
Urs M. Heller ◽  
Joe Kiskis ◽  
Rajamani Narayanan
Keyword(s):  
Gauge Theories ◽  
Chiral Condensate

scholarly journals Dirac spectrum and chiral condensate for QCD at fixed θ angle

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
M. Kieburg ◽  
J. J. M. Verbaarschot ◽  
T. Wettig
Keyword(s):  
Chiral Condensate ◽  
Dirac Spectrum

scholarly journals Universal scaling of the chiral condensate in finite-volume gauge theories

2000 ◽  
Vol 61 (9) ◽  
Author(s):  
Poul H. Damgaard ◽  
Robert G. Edwards ◽  
Urs M. Heller ◽  
Rajamani Narayanan
Keyword(s):  
Finite Volume ◽  
Gauge Theories ◽  
Chiral Condensate ◽  
Universal Scaling
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