scholarly journals Infinite energy solutions for the (3+1)-dimensional Yang-Mills equation in Lorenz gauge

2019 ◽  
Vol 18 (2) ◽  
pp. 663-688 ◽  
Author(s):  
Hartmut Pecher ◽  
Keyword(s):  
Yang Mills ◽  
Lorenz Gauge ◽  
Infinite Energy Solutions ◽  
Infinite Energy

scholarly journals Global infinite energy solutions for the cubic wave equation

2015 ◽  
Vol 143 (2) ◽  
pp. 301-313 ◽  
Author(s):  
Nicolas Burq ◽  
Laurent Thomann ◽  
Nikolay Tzvetkov
Keyword(s):  
Wave Equation ◽  
Infinite Energy Solutions ◽  
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.

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