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Journal of High Energy Physics

, 2014:172

First Online: 29 September 2014Received: 20 August 2014Accepted: 07 September 2014 Abstract

Low energy dynamics of magnetic monopoles and anti-monopoles in the U2C 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.

KeywordsSolitons Monopoles and Instantons Supersymmetric gauge theory Field Theories in Lower Dimensions ArXiv ePrint: 1407.2332

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Autor: Masato Arai - Filip Blaschke - Minoru Eto - Norisuke Sakai

Fuente: https://link.springer.com/

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