Self-dual solutions for SU(2) gauge fields on euclidean space

1980 ◽  
Vol 97 (1) ◽  
pp. 113-114 ◽  
Author(s):  
Dipankar Ray
Keyword(s):  
Euclidean Space ◽  
Dual Solutions ◽  
Gauge Fields

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.

Self-Dual Solutions for SU(2) and SU(3) Gauge Fields on Euclidean Space

2004 ◽  
Vol 43 (1) ◽  
pp. 151-159 ◽  
Author(s):  
A. H. Khater ◽  
D. K. Callebaut ◽  
R. M. Shehata ◽  
S. M. Sayed
Keyword(s):  
Euclidean Space ◽  
Dual Solutions ◽  
Gauge Fields

A class of self‐dual solutions for SU(2) gauge fields on Euclidean space

1987 ◽  
Vol 28 (4) ◽  
pp. 774-776 ◽  
Author(s):  
Bernard Leaute ◽  
Gilbert Marcilhacy
Keyword(s):  
Euclidean Space ◽  
Dual Solutions ◽  
Gauge Fields

scholarly journals An Exact Equation for Wilson Loops in Two-Dimensional Euclidean Space

2003 ◽  
Vol 18 (27) ◽  
pp. 1925-1929
Author(s):  
Mofazzal Azam
Keyword(s):  
Euclidean Space ◽  
Gauge Theories ◽  
Gauge Fields ◽  
Dimensional Euclidean Space ◽  
Exact Equation ◽  
Wilson Loops ◽  
Two Dimensional ◽  
Abelian Gauge

We derive an exact equation for simple self non-intersecting Wilson loops in non-Abelian gauge theories with gauge fields interacting with fermions in two-dimensional Euclidean space.

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