Chiral-symmetry breaking in QCD. II. Running coupling constant

1988 ◽  
Vol 37 (8) ◽  
pp. 2296-2299 ◽  
Author(s):  
D. Atkinson ◽  
P. W. Johnson
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

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

scholarly journals SCHWINGER–DYSON EQUATIONS IN 2-D INDUCED GRAVITY IN COVARIANT GAUGES

1994 ◽  
Vol 09 (29) ◽  
pp. 2681-2689 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
YU. I. SHIL'NOV
Keyword(s):  
Numerical Analysis ◽  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Ladder Approximation ◽  
Coupling Constant ◽  
Induced Gravity ◽  
Negative Cosmological Constant

We formulate the Schwinger–Dyson equations in the ladder approximation for 2-D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equations hints towards the possibility of chiral symmetry breaking, depending on the value of the coupling constant.

scholarly journals THE FOUR-FERMION INTERACTION IN D = 2, 3, 4: A NONPERTURBATIVE TREATMENT

1998 ◽  
Vol 13 (21) ◽  
pp. 3649-3665 ◽  
Author(s):  
V. E. ROCHEV ◽  
P. A. SAPONOV
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degrees Of Freedom ◽  
Space Time ◽  
Coupling Constant ◽  
Dimensional Theory ◽  
Fixed Integer ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Gross Neveu Model

A new nonperturbative approach is used to investigate the Gross–Neveu model of four-fermion interaction in the space–time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in D=2, 3 and the running coupling constant is calculated. The four-dimensional theory seems to be trivial.

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 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.

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