English

Three dimensional large N monopole gas

High Energy Physics - Theory 2009-09-25 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9610127,
  title  = {Three dimensional large N monopole gas},
  author = {F. Nesti},
  journal= {arXiv preprint arXiv:hep-th/9610127},
  year   = {2009}
}

Comments

36 pages, 5 figures, changes in style, organization and small errors corrected