Monopoles and instantons from Berry’s phase
- 1 August 1989
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (8) , 1727-1731
- https://doi.org/10.1063/1.528260
Abstract
The topological phase picked up by an arbitrary spin undergoing a cyclic series of quantum jumps is deduced by geometric considerations. Generalizing the Hamiltonian of a spin in a magnetic field, higher‐dimensional Dirac monopoles are derived from the non‐Abelian adiabatic phase. These monopoles appear in the momentum space description of zero mass particles in higher dimensions.Keywords
This publication has 35 references indexed in Scilit:
- Quantum jumps, geodesics, and the topological phasePhysical Review D, 1989
- Observation of topological phase by use of a laser interferometerPhysical Review Letters, 1988
- The Adiabatic Phase and Pancharatnam's Phase for Polarized LightJournal of Modern Optics, 1987
- Geometrical description of Berry's phasePhysical Review A, 1987
- Manifestation of Berry’s topological phase in neutron spin rotationPhysical Review Letters, 1987
- Photon Berry’s phase as a classical topological effectPhysical Review A, 1987
- Comment on ‘‘Observation of Berry’s topological phase by use of an optical fiber’’Physical Review Letters, 1987
- Appearance of Gauge Structure in Simple Dynamical SystemsPhysical Review Letters, 1984
- Holonomy, the Quantum Adiabatic Theorem, and Berry's PhasePhysical Review Letters, 1983
- Space-time symmetries in gauge theoriesCommunications in Mathematical Physics, 1980