Non-Abelian Aharonov–Bohm effects, Feynman paths, and topology

DOI10.1063/1.527067zbMath0592.58005OpenAlexW2020862806MaRDI QIDQ3721457

Raman Sundrum, Lindsay J. Tassie

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527067

zbMATH Keywords

Aharonov-Bohm effect in general gauge theoriesFeynman sum over pathsgauge-curvature-free regions

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Constructive quantum field theory (81T08) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (8)

Krein’s formula approach to the multisolenoid Aharonov–Bohm effect ⋮ Green functions of the Dirac equation with magnetic-solenoid field ⋮ Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry ⋮ The propagator in the generalized Aharonov–Bohm effect ⋮ Geometry of the Aharonov-Bohm effect ⋮ Local discrete symmetry and quantum-mechanical hair ⋮ Aharonov–Bohm effect revisited ⋮ ADHM construction of instantons on the torus

Cites Work

• Symmetry theory of the Aharonov-Bohm effect: Quantum mechanics in a multiply connected region
• Significance of Electromagnetic Potentials in the Quantum Theory
• Integral Formalism for Gauge Fields

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