scholarly journals Infrared suppression of the Coulomb gauge gluon propagator in SU(3) Yang-Mills theory

2012 ◽  
Author(s):  
Yoshiyuki Nakagawa
Keyword(s):  
Gluon Propagator ◽  
Coulomb Gauge ◽  
Yang Mills

scholarly journals INFRARED-SUPPRESSED GLUON PROPAGATOR IN 4D YANG–MILLS THEORY IN A LANDAU-LIKE GAUGE

2007 ◽  
Vol 22 (32) ◽  
pp. 2429-2438 ◽  
Author(s):  
ATTILIO CUCCHIERI ◽  
AXEL MAAS ◽  
TEREZA MENDES
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Three Dimensional ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Dimensional Case ◽  
Gauge Parameter ◽  
Reflection Positivity ◽  
Yang Mills ◽  
Transverse Gluon

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov–Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying violation of reflection positivity and gluon confinement. Finite-volume effects make it very difficult to observe (in the minimal Landau gauge) an infrared suppressed gluon propagator in lattice simulations of the four-dimensional case. Here we report results for the SU(2) gluon propagator in a gauge that interpolates between the minimal Landau gauge (for gauge parameter λ equal to 1) and the minimal Coulomb gauge (corresponding to λ = 0). For small values of λ we find that the spatially-transverse gluon propagator D tr (0, |p|), considered as a function of the spatial momenta |p|, is clearly infrared suppressed. This result is in agreement with the Gribov–Zwanziger scenario and with previous numerical results in the minimal Coulomb gauge. We also discuss the nature of the limit λ→0 (complete Coulomb gauge) and its relation to the standard Coulomb gauge (λ = 0). Our findings are corroborated by similar results in the three-dimensional case, where the infrared suppression is observed for all considered values of λ.

Yang-Mills vacuum in the Coulomb gauge within an effective model

1989 ◽  
Vol 40 (8) ◽  
pp. 2692-2696 ◽  
Author(s):  
P. Besting ◽  
D. Schütte
Keyword(s):  
Coulomb Gauge ◽  
Effective Model ◽  
Yang Mills

scholarly journals Yang-Mills wave functional in Coulomb gauge

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
H. Reinhardt ◽  
C. Feuchter
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

THE CONFINEMENT MECHANISM IN YANG–MILLS THEORY?

1999 ◽  
Vol 14 (06) ◽  
pp. 447-457 ◽  
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Gluon Propagator ◽  
Statistical Treatment ◽  
Gauge Condition ◽  
Classical Solutions ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Effective Dynamics ◽  
Gauge Fixing ◽  
Parallel Surfaces ◽  
Nonlinear Gauge

Using the recently proposed nonlinear gauge condition [Formula: see text] we show the area law behavior of the Wilson loop and the linear dependence of the instantaneous gluon propagator. The field configurations responsible for confinement are those in the nonlinear sector of the gauge-fixing condition (the linear sector being the Coulomb gauge). The nonlinear sector is actually composed of "Gribov horizons" on the parallel surfaces ∂ · Aa=fa≠0. In this sector, the gauge field [Formula: see text] can be expressed in terms of fa and a new vector field [Formula: see text]. The effective dynamics of fa suggests nonperturbative effects. This was confirmed by showing that all spherically symmetric (in 4-D Euclidean) fa(x) are classical solutions and averaging these solutions using a Gaussian distribution (thereby treating these fields as random) lead to confinement. In essence the confinement mechanism is not quantum mechanical in nature but simply a statistical treatment of classical spherically symmetric fields on the "horizons" of ∂ · Aa=fa(x) surfaces.

GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R1+5

2010 ◽  
Vol 07 (03) ◽  
pp. 433-470 ◽  
Author(s):  
ATANAS STEFANOV
Keyword(s):  
Model Equation ◽  
Global Regularity ◽  
Gauge Condition ◽  
Coulomb Gauge ◽  
Important Case ◽  
Small Data ◽  
Yang Mills

We show global persistence of solutions with small data for the model equation □u = u⋅∇u + u3, on R 1+d, d ≥ 5, subject to the Coulomb gauge condition [Formula: see text]. In particular, this covers the important case of the Yang–Mills problem.

scholarly journals The gluon propagator in Coulomb gauge from the lattice

2012 ◽  
Author(s):  
Giuseppe Burgio ◽  
Markus Quandt ◽  
Hugo Reinhardt
Keyword(s):  
Gluon Propagator ◽  
Coulomb Gauge

Coulomb gauge description of large Yang-Mills fields

1978 ◽  
Vol 17 (6) ◽  
pp. 1576-1582 ◽  
Author(s):  
R. Jackiw ◽  
I. Muzinich ◽  
C. Rebbi
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills
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