scholarly journals Abelian-Higgs model from Cho–Faddeev–Niemi decomposition

2014 ◽  
Vol 29 (08) ◽  
pp. 1450047 ◽  
Author(s):  
A. Mohamadnejad ◽  
S. Deldar
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Magnetic Monopoles ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Yang Mills ◽  
Vortex Solutions ◽  
Mills Field

Applying Cho–Faddeev–Niemi decomposition for SU(2) Yang–Mills field, we obtain the Abelian–Higgs Lagrangian by some approximation. Abelian–Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as Nielsen–Olesen solutions. We conclude that vortices as well as magnetic monopoles can exist in Cho–Faddeev–Niemi decomposition of SU(2) Yang–Mills field.

scholarly journals Existence of hyperbolic calorons

2015 ◽  
Vol 471 (2176) ◽  
pp. 20140970
Author(s):  
Lesley Sibner ◽  
Robert Sibner ◽  
Yisong Yang
Keyword(s):  
Recent Work ◽  
Hyperbolic Space ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Yang Mills ◽  
Minimal Action ◽  
Vortex Solutions

Recent work of Harland shows that the SO (3)-symmetric, dimensionally reduced, charge- N self-dual Yang–Mills calorons on the hyperbolic space H 3 × S 1 may be obtained through constructing N -vortex solutions of an Abelian Higgs model as in the study of Witten on multiple instantons. In this paper, we establish the existence of such minimal action charge- N calorons by constructing arbitrarily prescribed N -vortex solutions of the Witten type equations.

SPHERICALLY SYMMETRIC SO(4) INSTANTON OF A NON-ABELIAN HIGGS MODEL IN 4-DIMENSIONS

1989 ◽  
Vol 04 (14) ◽  
pp. 1389-1401 ◽  
Author(s):  
G.M. O’BRIEN ◽  
D.H. TCHRAKIAN
Keyword(s):  
Higgs Model ◽  
Spherically Symmetric ◽  
Abelian Higgs Model ◽  
Yang Mills

A spherically symmetric instanton of a 4-dimensional non-Abelian Higgs model descended from a generalised Yang-Mills system, is presented. This instanton is not selfdual.

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