@article { ,
title = {Magnetic bags in hyperbolic space},
abstract = {A magnetic bag is an Abelian approximation to a large number of coincident SU(2) Bogomolâ€™nyi-Prasad-Sommerfield monopoles. In this paper we consider magnetic bags in hyperbolic space and derive their Nahm transform from the large-charge limit of the discrete Nahm equation for hyperbolic monopoles. An advantage of studying magnetic bags in hyperbolic space, rather than Euclidean space, is that a range of exact charge N hyperbolic monopoles can be constructed, for arbitrarily large values of N , and compared with the magnetic bag approximation. We show that a particular magnetic bag (the magnetic disc) provides a good description of the axially symmetric N -monopole. However, an Abelian magnetic bag is not a good approximation to a roughly spherical N -monopole that has more than N zeros of the Higgs field. We introduce an extension of the magnetic bag that does provide a good approximation to such monopoles and involves a spherical non-Abelian interior for the bag, in addition to the conventional Abelian exterior.},
doi = {10.1103/physrevd.92.025052},
eissn = {1550-2368},
issn = {1550-7998},
issue = {2},
journal = {Physical Review D},
note = {EPrint Processing Status: Full text deposited in DRO},
publicationstatus = {Published},
publisher = {American Physical Society},
volume = {92},
keyword = {Centre for Particle Theory},
year = {2015},
author = {Bolognesi, S. and Harland, D. and Sutcliffe, P.M.}
}