Static and Axially Symmetric Soliton Solutions to the Self-Dual SU(3) and SU(2) Gauge Fields in a Euclidean Space

1990 ◽  
pp. 803-811 ◽  
Author(s):  
Demetrios B. Papadopoulos
Keyword(s):  
Euclidean Space ◽  
Soliton Solutions ◽  
The Self ◽  
Gauge Fields ◽  
Axially Symmetric ◽  
Symmetric Soliton

scholarly journals Quantized Solitons in the Extended Skyrme-Faddeev Model

10.14311/1358 ◽  
2011 ◽  
Vol 51 (2) ◽  
Author(s):  
L. A. Ferreira ◽  
S. Kato ◽  
N. Sawado ◽  
K. Toda
Keyword(s):  
Soliton Solutions ◽  
Axially Symmetric ◽  
Faddeev Model ◽  
Symmetric Soliton ◽  
Topological Charges

The construction of axially symmetric soliton solutions with non-zero Hopf topological charges according to a theory known as the extended Skyrme-Faddeev model, was performed in [1]. In this paper we show how masses of glueballs are predicted within this model.

ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS

1992 ◽  
Vol 07 (23) ◽  
pp. 2077-2085 ◽  
Author(s):  
A. D. POPOV
Keyword(s):  
Scalar Field ◽  
Euclidean Space ◽  
Lie Algebra ◽  
Linear Equations ◽  
Dual Solutions ◽  
Gauge Fields ◽  
System Of Equations ◽  
Semisimple Lie Algebra ◽  
Yang Mills ◽  
Self Duality

The anti-self-duality equations for gauge fields in d = 4 and a generalization of these equations to dimension d = 4n are considered. For gauge fields with values in an arbitrary semisimple Lie algebra [Formula: see text] we introduce the ansatz which reduces the anti-self-duality equations in the Euclidean space ℝ4n to a system of equations breaking up into the well known Nahm's equations and some linear equations for scalar field φ.

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