Gauge field geometry from complex and harmonic analyticities. I. Kähler and self-dual Yang-Mills cases

1988 ◽  
Vol 181 (2) ◽  
pp. 375
1988 ◽  
Vol 185 (1) ◽  
pp. 1-21 ◽  
Author(s):  
A Galperin ◽  
E Ivanov ◽  
V Ogievetsky ◽  
E Sokatchev

1994 ◽  
Vol 09 (40) ◽  
pp. 3731-3739 ◽  
Author(s):  
GEORGE LAVRELASHVILI

We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills dilaton theory. This sequence is parametrized by the number of zeros, n, of a component of the gauge field potential. It is demonstrated that solutions with odd n possess all the properties of the sphaleron. It is shown that there are normalizable fermion zero modes in the background of these solutions. The question of instability is critically analyzed.


2009 ◽  
Vol 24 (18n19) ◽  
pp. 3630-3637 ◽  
Author(s):  
A. SULAIMAN ◽  
A. FAJARUDIN ◽  
T. P. DJUN ◽  
L. T. HANDOKO

The magnetofluid unification is constructed using lagrangian approach by imposing a non-Abelian gauge symmetry to the matter inside the fluid. The model provides a general description for relativistic fluid interacting with either Abelian or non-Abelian gauge field. The differences with the hybrid magnetofluid model are discussed, and some physical consequences of this formalism are briefly worked out.


2019 ◽  
Vol 28 (01) ◽  
pp. 1950017 ◽  
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Nina Protsenko

A possibility is discussed to experimentally test a dark matter model supported by a classic non-Abelian SU(3) Yang–Mills gauge field. Our approach is based on the analysis of the motion of color-charged particles in the background of color electric and magnetic fields using the Wong equations. Estimating the magnitudes of the color fields near the edge of a galaxy, we employ them in obtaining the general analytic solutions to the Wong equations. Using the latter, we calculate the magnitude of the extra acceleration of color-charged particles related to the possible presence of the color fields in the neighborhood of Earth.


2001 ◽  
Vol 16 (29) ◽  
pp. 1863-1869 ◽  
Author(s):  
DUOJE JIA ◽  
YISHI DUAN

A new doublet variable is proposed to decompose non-Abelian gauge field for describing the topological effects of instantons due to the defects in appropriate phase of SU(2) Yang–Mills theory. It is shown that the instanton number can be directly related to the isospin defects of the doublet order parameter and contributed from topological charges of these defects. The θ-term in instanton action is found to be the delta-function form of the doublet and the Lagrangian of instantons in terms of new variables is also presented.


1987 ◽  
Vol 02 (11) ◽  
pp. 861-868
Author(s):  
ZIEMOWIT POPOWICZ

The examples of Wu-Yang ambiguity in the supersymmetric Yang-Mills theory are given. We describe two different manners of copying the superconnection for the N = 1, N = 3 supersymmetric SU(2) Yang-Mills field theory, providing the same field strength superfield tensor.


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