Infinite-Energy dyon-like solutions for Yang-Mills-Higgs theory

1997 ◽  
Vol 36 (8) ◽  
pp. 1857-1864 ◽  
Author(s):  
D. Singleton
Keyword(s):  
Yang Mills ◽  
Infinite Energy

scholarly journals Gluing an Infinite Number of Instantons

2007 ◽  
Vol 188 ◽  
pp. 107-131 ◽  
Author(s):  
Masaki Tsukamoto
Keyword(s):  
Gauge Theory ◽  
Parameter Space ◽  
Infinite Number ◽  
Moduli Spaces ◽  
Dimensional Parameter ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Alternating Method ◽  
One Step ◽  
Infinite Energy

AbstractThis paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an “infinite energy” situation. We show that we can glue an infinite number of instantons, and that the resulting ASD connections have infinite energy in general. Moreover they have an infinite dimensional parameter space. Our construction is a generalization of Donaldson’s “alternating method”.

scholarly journals DYONS OF ONE-HALF MONOPOLE CHARGE

2006 ◽  
Vol 21 (26) ◽  
pp. 5285-5298
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Energy Density ◽  
Electromagnetic Fields ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Line Singularity ◽  
Infinite Energy

We would like to present some exact SU(2) Yang–Mills–Higgs dyon solutions of one-half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, m. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter m are finite.

MULTIMONOPOLE–ANTIMONOPOLE SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS FIELD THEORY

2004 ◽  
Vol 19 (03) ◽  
pp. 371-391 ◽  
Author(s):  
ROSY TEH ◽  
K. M. WONG
Keyword(s):  
Field Theory ◽  
Axial Symmetry ◽  
Topological Index ◽  
Higgs Field ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Infinite Energy ◽  
Special Case

In this paper we constructed exact static multimonopole–antimonopole solutions of the YMH field theory. By labelling these solutions as A1, A2, B1, and B2, we notice that the exact axially symmetric 1-monopole — two antimonopoles solution is actually a special case of the A1 solution when the topological index parameter m=1. Also the B1 solution will reduce to a spherically symmetric Wu–Yang type monopole of unit charge when m=0. All these exact solutions satisfy the first order Bogomol'nyi equations and possess infinite energy. Hence they are a different type of the BPS solution. Except for the A1 solution when m=1 and the B1 solution when m=0, these solutions in general do not possess axial symmetry. They represent different combinations of monopoles, multimonopole, and antimonopoles, symmetrically arranged about the z-axis.

scholarly journals EXACT SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS THEORY

2001 ◽  
Vol 16 (20) ◽  
pp. 3479-3486 ◽  
Author(s):  
ROSY TEH
Keyword(s):  
Exact Solutions ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Static Solutions ◽  
Infinite Energy

Some exact static solutions of the SU(2) Yang–Mills–Higgs theory are presented. These solutions do satisfy the first order Bogomol'nyi equations, and possess infinite energy. They are axially symmetric and could possibly represent monopoles and an antimonopole sitting on the z-axis.

Sign in / Sign up

Export Citation Format

Share Document