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arXiv · 1402.0456

Coloured loops in 4D and their effective field representation

L. E. Oxman·G. C. Santos Rosa·B. F. I. Teixeira
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Abstract

Gaining insight about ensembles of magnetic configurations, that could originate the confining string tension between quarks, constitutes a major concern in current lattice investigations. This interest also applies to a different approach, where gauge models with spontaneous symmetry breaking are constructed to describe the confining string as a smooth vortex solution. In this article, we initially show how to incorporate non Abelian information into an ensemble of monopoles in $4D$, characterized by phenomenological parameters. Next, using some recent techniques developed for polymers, we were able to relate the coloured ensemble with a non Abelian gauge model. This could offer an interesting perspective to discuss some of the different approaches to describe confinement.

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L. E. Oxman, G. C. Santos Rosa, B. F. I. Teixeira. 2014-02-03. Coloured loops in 4D and their effective field representation. https://doi.org/10.1088/1751-8113/47/30/305401

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