Infrared behavior of the gluon propagator and broken chiral symmetry in quantum chromodynamics

1990 ◽  
Vol 103 (8) ◽  
pp. 1157-1162
Author(s):  
R. Acharya ◽  
P. Narayana Swamy
Keyword(s):  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Gluon Propagator ◽  
Infrared Behavior

scholarly journals QCD IN THE INFRARED WITH EXACT ANGULAR INTEGRATIONS

1998 ◽  
Vol 13 (13) ◽  
pp. 1055-1062 ◽  
Author(s):  
D. ATKINSON ◽  
J. C. R. BLOCH
Keyword(s):  
Fixed Point ◽  
Quantum Chromodynamics ◽  
Gluon Propagator ◽  
Simple Pole ◽  
Exact Calculation ◽  
Ghost Propagator ◽  
Infrared Behavior ◽  
Infrared Limit

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but here we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behavior of the propagators are changed substantially. We find the very intriguing result that the gluon propagator vanishes in the infrared exactly like p2, whilst the ghost propagator is exactly as singular as 1/p4. We also find that the value of the infrared fixed point of the QCD coupling is much decreased: it is now equal to 4π/3.

scholarly journals WHAT THE INFRARED BEHAVIOR OF QCD VERTEX FUNCTIONS IN LANDAU GAUGE CAN TELL US ABOUT CONFINEMENT

2007 ◽  
Vol 16 (09) ◽  
pp. 2720-2732 ◽  
Author(s):  
R. ALKOFER ◽  
C. S. FISCHER ◽  
F. J. LLANES-ESTRADA ◽  
K. SCHWENZER
Keyword(s):  
Renormalization Group ◽  
Chiral Symmetry ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Lattice Data ◽  
Gluon Vertex ◽  
Infrared Behavior ◽  
Renormalization Group Equations ◽  
Infrared Singularities

The infrared behavior of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson–Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson–Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dressed quark-gluon vertex. The selfconsistent mechanism that generates these singularities necessarily entails the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken, either explicitly or dynamically.

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 Asymptotic Freedom and Confinement Imply Spontaneously Broken Chiral Symmetry in Quantum Chromodynamics

1997 ◽  
Vol 12 (22) ◽  
pp. 1649-1654
Author(s):  
R. Acharya ◽  
P. Narayana Swamy
Keyword(s):  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Broken Symmetry ◽  
Asymptotic Freedom

We utilize Coleman's theorem and show that quantum chromodynamics based on asymptotic freedom and confinement must have chiral symmetry realized as a spontaneously broken symmetry.

scholarly journals Infrared behavior of the gluon propagator: Confining or confined?

1995 ◽  
Vol 52 (9) ◽  
pp. 5220-5228 ◽  
Author(s):  
Kirsten Büttner ◽  
M. R. Pennington
Keyword(s):  
Gluon Propagator ◽  
Infrared Behavior

scholarly journals Infrared behavior of the gluon propagator on a large volume lattice

2000 ◽  
Vol 62 (5) ◽  
Author(s):  
Frédéric D. R. Bonnet ◽  
Patrick O. Bowman ◽  
Derek B. Leinweber ◽  
Anthony G. Williams
Keyword(s):  
Large Volume ◽  
Gluon Propagator ◽  
Infrared Behavior
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