Quaternionic gauge fields and the geometric phase

DOI10.1063/1.529160zbMath0759.53049OpenAlexW1973607227MaRDI QIDQ3987365

Péter Lévay

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529160

zbMATH Keywords

Wess-Zumino termquaternionic representationquaternionic projective spacenonadiabatic cyclic evolutionPolyakov's spin factors

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• Complex and quaternionic analyticity in chiral and gauge theories. I
• Quaternionic Kaehler manifolds
• Chern numbers, quaternions, and Berry's phases in Fermi systems
• The logic of quantum mechanics
• Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase
• Quantal phase factors accompanying adiabatic changes
• Geometry of quantum evolution
• Monopoles and instantons from Berry’s phase
• Existence of Universal Connections

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