scholarly journals Constraints on the infrared behavior of the ghost propagator in Yang-Mills theories

2008 ◽  
Vol 78 (9) ◽  
Author(s):  
A. Cucchieri ◽  
T. Mendes
Keyword(s):  
Ghost Propagator ◽  
Yang Mills ◽  
Infrared Behavior

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 Spectrum of scalar and pseudoscalar glueballs from functional methods

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Markus Q. Huber ◽  
Christian S. Fischer ◽  
Hèlios Sanchis-Alepuz
Keyword(s):  
Excited States ◽  
Ground State ◽  
Quantitative Agreement ◽  
Ghost Propagator ◽  
Yang Mills ◽  
Functional Methods ◽  
Specific Choice ◽  
The Masses ◽  
Self Consistency

AbstractWe provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang–Mills theory using a parameter-free fully self-contained truncation of Dyson–Schwinger and Bethe–Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $$1.9\,\text {GeV}$$ 1.9 GeV and $$2.6\,\text {GeV}$$ 2.6 GeV for the scalar and pseudoscalar glueballs, respectively, and $$2.6\,\text {GeV}$$ 2.6 GeV and $$3.9\,\text {GeV}$$ 3.9 GeV for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $$3.7\,\text {GeV}$$ 3.7 GeV and $$4.3\,\text {GeV}$$ 4.3 GeV . The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.

scholarly journals Infrared behavior of three-point functions in Landau gauge Yang–Mills theory

2009 ◽  
Vol 62 (4) ◽  
pp. 761-781 ◽  
Author(s):  
R. Alkofer ◽  
M. Q. Huber ◽  
K. Schwenzer
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Infrared Behavior

scholarly journals GLUONS AT FINITE TEMPERATURE IN LANDAU GAUGE YANG–MILLS THEORY

2005 ◽  
Vol 20 (24) ◽  
pp. 1797-1811 ◽  
Author(s):  
AXEL MAAS
Keyword(s):  
High Temperature ◽  
Finite Temperature ◽  
Landau Gauge ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
Soft Scale ◽  
Yang Mills ◽  
Infrared Behavior ◽  
The One

The infrared behavior of Yang–Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson–Schwinger studies are discussed. These indicate persistence of a residual confinement even in the high-temperature phase. The confinement mechanism is very similar to the one in the vacuum for the chromomagnetic sector. In the chromoelectric sector screening occurs at the soft scale g2T, although not leading to a perturbative 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.

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