Scheme for building a t'Hooft-Polyakov monopole
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We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry phase. We show that this Berry phase is the path ordered exponential of the smooth SU(2) ’t Hooft–Polyakov monopole. We further show that, by adjusting a potential on the sphere, the monopole becomes a Bogomol’nyi-Prasad-Sommerfield monopole and obeys the Bogomol’nyi equations.
Date issued
2009-05Department
Massachusetts Institute of Technology. Center for Theoretical PhysicsJournal
Physical Review Letters
Publisher
American Physical Society
Citation
Sonner, Julian, and David Tong. “Scheme for Building a ’t Hooft–Polyakov Monopole.” Physical Review Letters 102 (2009) © 2009 The American Physical Society.
Version: Final published version
ISSN
0031-9007