Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor

A bstract Low energy dynamics of magnetic monopoles and anti-monopoles in the U(2) C gauge theory is studied in the Higgs (non-Abelian superconducting) phase. The monopoles in this superconducting phase are not spherical but are of slender ellipsoid which are pierced by a vortex string. We investiga...

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Bibliographic Details
Published in:The journal of high energy physics 2014-09, Vol.2014 (9), p.1, Article 172
Main Authors: Arai, Masato, Blaschke, Filip, Eto, Minoru, Sakai, Norisuke
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:A bstract Low energy dynamics of magnetic monopoles and anti-monopoles in the U(2) C gauge theory is studied in the Higgs (non-Abelian superconducting) phase. The monopoles in this superconducting phase are not spherical but are of slender ellipsoid which are pierced by a vortex string. We investigate scattering of the slender monopole and anti-monopole, and find that they do not always decay into radiation, contrary to our naive intuition. They can repel, make bound states (magnetic mesons) or resonances. Analytical solutions including any number of monopoles and anti-monopoles are obtained in the first non-trivial order of rigid-body approximation. We point out that some part of solutions of slender monopole system in 1 + 3 dimensions can be mapped exactly onto the sine-Gordon system in 1 + 1 dimensions. This observation allows us to visualize dynamics of monopole and anti-monopole scattering easily.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2014)172