Classical Solutions of Yang-Mills-Theory

1983 ◽  
pp. 651-657
Author(s):  
H. Mitter
Keyword(s):  
Classical Solutions ◽  
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.

Classical and Semi-Classical Solutions of the Yang-Mills Theory

1978 ◽  
pp. 199-258 ◽  
Author(s):  
R. Jackiw ◽  
C. Nohl ◽  
C. Rebbi
Keyword(s):  
Classical Solutions ◽  
Yang Mills

Classical solutions ofSU(2)Yang—Mills theories

1979 ◽  
Vol 51 (3) ◽  
pp. 461-525 ◽  
Author(s):  
Alfred Actor
Keyword(s):  
Classical Solutions ◽  
Yang Mills

scholarly journals Numerical study of Yang-Mills classical solutions on the twisted torus

1993 ◽  
Vol 26 (11) ◽  
pp. 2667-2678 ◽  
Author(s):  
M Garcia Perez ◽  
A Gonzalez-Arroyo
Keyword(s):  
Numerical Study ◽  
Classical Solutions ◽  
Yang Mills

CHROMODYNAMIC FLUX TUBES

1991 ◽  
Vol 06 (01) ◽  
pp. 41-44 ◽  
Author(s):  
E. I. GUENDELMAN ◽  
D. A. OWEN
Keyword(s):  
Gauge Field ◽  
Flux Tube ◽  
Classical Solutions ◽  
Flux Tubes ◽  
Yang Mills ◽  
Electric Flux ◽  
Infrared Divergences

We show that in the presence of condensation of a gauge field there is confinement of chromodynamic charges. Between these confined charges an electric flux tube is generated. In particular we have considered the classical solutions for an SU (2) Yang-Mills theory in the presence of such a condensate. This treatment has been motivated by the cancellation of infrared divergences in 2+1 dimensions.

Finite-energy classical solutions to Yang-Mills theories

1987 ◽  
Vol 35 (8) ◽  
pp. 2543-2549 ◽  
Author(s):  
Swadesh M. Mahajan ◽  
Prashant M. Valanju
Keyword(s):  
Finite Energy ◽  
Classical Solutions ◽  
Yang Mills

scholarly journals DUALITY IN EQUATIONS OF MOTION FROM SPACE–TIME DEPENDENT LAGRANGIANS

2000 ◽  
Vol 15 (14) ◽  
pp. 901-911 ◽  
Author(s):  
RAJSEKHAR BHATTACHARYYA ◽  
DEBASHIS GANGOPADHYAY
Keyword(s):  
Equations Of Motion ◽  
Space Time ◽  
Quantization Condition ◽  
Time Dependent ◽  
Classical Solutions ◽  
String Solution ◽  
Yang Mills ◽  
Dirac Quantization ◽  
Lagrangian Field Theory ◽  
Condition C

Starting from Lagrangian field theory and the variational principle, we show that duality in equations of motion can also be obtained by introducing explicit space–time dependence of the Lagrangian. Poincaré invariance is achieved precisely when the duality conditions are satisfied in a particular way. The same analysis and criteria are valid for both Abelian and non-Abelian dualities. We illustrate how (a) Dirac string solution, (b) Dirac quantization condition, (c) 't Hooft–Polyakov monopole solutions and (d) a procedure emerges for obtaining new classical solutions of Yang–Mills (YM) theory. Moreover, these results occur in a way that is strongly reminiscent of the holographic principle.

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