Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-17
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 5 figures, changes in style, organization and small errors corrected
Scientific paper
We study the large N limit in the presence of magnetic monopoles in the Yang-Mills/Higgs model in three dimensions. The physics in the limit depends strongly on the distribution of eigenvalues of the Higgs field in the vacuum, and we propose a particular, nondegenerate configuration. It minimizes the free energy at the moment of symmetry breaking. Given this, the magnetic monopoles show a wide hierarchy of masses, and some are vanishing as 1/N. The dilute gas picture, then, provides an interesting structure in the large N limit.
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