On the topological meaning of magnetic charge quantization

DOI10.1063/1.525439zbMath0494.55008OpenAlexW1617968005MaRDI QIDQ3957641

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Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525439

zbMATH Keywords

Chern numbergauge theorywinding numberconnectionmagnetic chargeprincipal fiber bundlesDirac's quantization condition1-sphere bundles over the 2-sphereelectromagnetic field produced by monopoleWu- Yang potentials

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Electromagnetic interaction; quantum electrodynamics (81V10) Characteristic classes and numbers in differential topology (57R20) Applications of global differential geometry to the sciences (53C80) Electromagnetic theory (general) (78A25) Fiber bundles in algebraic topology (55R10)

Related Items (2)

Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups ⋮ On spin(7) holonomy metric based on \(\text{SU}(3)/\text{U}(1)\). I

Cites Work

• Dirac's Monopole and the Hopf Map
• Dirac monopoles and the Hopf map S³to S²
• Quantised singularities in the electromagnetic field,

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