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 DYNAMICALLY INDUCED SCALAR QUARK CONFINEMENT

2008 ◽  
Vol 23 (15) ◽  
pp. 1105-1113 ◽  
Author(s):  
REINHARD ALKOFER ◽  
CHRISTIAN S. FISCHER ◽  
FELIPE J. LLANES-ESTRADA
Keyword(s):  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Functional Approach ◽  
Quark Confinement ◽  
Gluon Vertex ◽  
Self Consistent ◽  
Scalar Quark ◽  
Infrared Singularities

We employ a functional approach to investigate the confinement problem in quenched Landau gauge QCD. We demonstrate analytically that a linear rising potential between massive quarks is generated by infrared singularities in the dressed quark–gluon vertex. The self-consistent mechanism that generates these singularities is driven by the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken. We have thus uncovered a novel mechanism that directly links chiral symmetry breaking with confinement.

Infrared Yang–Mills theory: A renormalization group perspective

2016 ◽  
Vol 25 (07) ◽  
pp. 1642002 ◽  
Author(s):  
Axel Weber ◽  
Pietro Dall’Olio ◽  
Francisco Astorga
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Analytical Approach ◽  
Landau Gauge ◽  
Momentum Dependence ◽  
Lattice Data ◽  
Four Dimensions ◽  
Yang Mills ◽  
Epsilon Expansion ◽  
Renormalization Group Equations

We describe a technically very simple analytical approach to the deep infrared regime of Yang–Mills theory in the Landau gauge via Callan–Symanzik renormalization group equations in an epsilon expansion. This approach recovers all the solutions for the infrared gluon and ghost propagators previously found by solving the Dyson–Schwinger equations of the theory and singles out the solution with decoupling behavior, confirmed by lattice calculations, as the only one corresponding to an infrared attractive fixed point (for space-time dimensions above two). For the case of four dimensions, we describe the crossover of the system from the ultraviolet to the infrared fixed point and determine the complete momentum dependence of the propagators. The results for different renormalization schemes are compared to the lattice data.

scholarly journals Infrared behavior of the ghost-gluon vertex in Landau gauge Yang-Mills theory

2005 ◽  
Vol 72 (1) ◽  
Author(s):  
W. Schleifenbaum ◽  
A. Maas ◽  
J. Wambach ◽  
R. Alkofer
Keyword(s):  
Landau Gauge ◽  
Gluon Vertex ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals Finite temperature Landau gauge lattice quark propagator

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Wave Function ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Quark Wave Function

Abstract The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$Tc are observed both for the quark wave function and the running quark mass. The results for the running quark mass indicate a link between gluon dynamics, the mechanism for chiral symmetry breaking and the deconfinement mechanism. For temperatures above $$T_c$$Tc and for low momenta, our results support also a description of quarks as free quasiparticles.

scholarly journals The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement

2009 ◽  
Vol 324 (1) ◽  
pp. 106-172 ◽  
Author(s):  
Reinhard Alkofer ◽  
Christian S. Fischer ◽  
Felipe J. Llanes-Estrada ◽  
Kai Schwenzer
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Quark Confinement ◽  
Dynamical Chiral Symmetry Breaking ◽  
Gluon Vertex

scholarly journals Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

1999 ◽  
Vol 102 (6) ◽  
pp. 1151-1162 ◽  
Author(s):  
K.-I. Aoki ◽  
K. Morikawa ◽  
J.-I. Sumi ◽  
H. Terao ◽  
M. Tomoyose
Keyword(s):  
Renormalization Group ◽  
Chiral Symmetry ◽  
Critical Dynamics ◽  
Renormalization Group Equations ◽  
Wilson Renormalization Group

scholarly journals Lattice Landau Gauge Quark Propagator and the Quark--Gluon Vertex

2016 ◽  
Vol 9 (3) ◽  
pp. 363 ◽  
Author(s):  
O. Oliveira ◽  
A. Kızılersü ◽  
P.J. Silva ◽  
J.-I. Skullerud ◽  
A. Sternbeck ◽  
...  
Keyword(s):  
Landau Gauge ◽  
Quark Propagator ◽  
Gluon Vertex
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