NONASSOCIATIVITY, DIRAC MONOPOLE AND AHARONOV–BOHM EFFECT

DOI10.1142/S0219887807002259zbMath1140.81402arXivhep-th/0503034OpenAlexW3100652294MaRDI QIDQ3503074

Alexander I. Nesterov

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0503034

zbMATH Keywords

Aharonov-Bohm effectDirac monopolenonassociativity

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Applications of differential geometry to physics (53Z05) Characteristic classes and numbers in differential topology (57R20) Loops, quasigroups (20N05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Generalizations of fiber spaces and bundles in algebraic topology (55R65)

Related Items (1)

SMOOTH LOOPS AND FIBER BUNDLES: THEORY OF PRINCIPAL Q-BUNDLES

Cites Work

• Unnamed Item
• Magnetic monopoles with generalized quantization condition
• Quantum electrodynamics without potentials
• Three-cocycles, nonassociative gauge transformations and Dirac's monopole
• On representations of the rotation group and magnetic monopoles
• Charge quantization and nonintegrable Lie algebras
• Significance of Electromagnetic Potentials in the Quantum Theory
• Quantal phase factors accompanying adiabatic changes
• Quantised singularities in the electromagnetic field,
• Principal loop bundles: Toward nonassociative gauge theories.

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