Bolognesi, S, Harland, D and Sutcliffe, P (2015) Magnetic bags in hyperbolic space. Physical Review D - Particles, Fields, Gravitation and Cosmology, 92 (2). 025052. ISSN 1550-7998
Abstract
A magnetic bag is an Abelian approximation to a large number of coincident SU(2) Bogomol'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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 American Physical Society. This is an author produced version of a paper published in Physical Review D. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Sep 2015 13:53 |
Last Modified: | 20 Jan 2018 04:51 |
Published Version: | http://dx.doi.org/10.1103/PhysRevD.92.025052 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevD.92.025052 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90145 |