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.

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.

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

scholarly journals Vertex functions of Coulomb gauge Yang-Mills theory

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Markus Q. Huber ◽  
Davide R. Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

scholarly journals Ice limit of Coulomb gauge Yang-Mills theory

2008 ◽  
Vol 78 (7) ◽  
Author(s):  
T. Heinzl ◽  
A. Ilderton ◽  
K. Langfeld ◽  
M. Lavelle ◽  
D. McMullan
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

NON-PERTURBAITVE GREEN FUNCTIONS IN QUANTUM GAUGE THEORIES

1991 ◽  
Vol 06 (10) ◽  
pp. 909-921 ◽  
Author(s):  
S.V. SHABANOV
Keyword(s):  
Configuration Space ◽  
Gauge Theories ◽  
Gauge Condition ◽  
Green Functions ◽  
Spatial Infinity ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Global Gauge

Non-perturbative Green functions for gauge invariant variables are considered. The Green functions are found to be modified as compared with the usual ones in a definite gauge because of a physical configuration space (PCS) reduction. In the Yang-Mills theory with fermions, this phenomenon follows from the Singer theorem about the absence of a global gauge condition for the fields tending to zero at spatial infinity.

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