2008/10/31 by Kimyeong Lee, Ki-Myeong Lee, Erick J. Weinberg
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Coulomb #Higgs boson #Higgs field #Lattice (music) #Magnetic field #Magnetic monopole #Massless particle #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #RADIUS #hep-th
paper · pdf · doi:10.1103/physrevd.79.025013
published as Phys.Rev.D79:025013,2009 · 19 pages, 1 figure
arxiv created 2009/01/13 · openalex publication_date 2009/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the characteristics of spherical bags made of large numbers of BPS magnetic monopoles. There are two extreme limits. In the Abelian bag, N zeros of the Higgs field are arranged in a quasiregular lattice on a sphere of radius Rcr\ensuremath∼N/v, where v is the Higgs vacuum expectation value. The massive gauge fields of the theory are largely confined to a thin shell at this radius that separates an interior with almost vanishing magnetic and Higgs fields from an exterior region with long-range Coulomb magnetic and Higgs fields. In the other limiting case, which we term a non-Abelian bag, the N zeros of the Higgs field are all the origin, but there is again a thin shell of radius Rcr. In this case the region enclosed by this shell can be viewed as a large monopole core, with small Higgs field but nontrivial massive and massless gauge fields.