THE BERRY PHASE AND MONOPOLES IN NON-ABELIAN GAUGE THEORIES

DOI10.1142/S0217751X02005840zbMath0993.81021arXivhep-th/0004012OpenAlexW1996373806MaRDI QIDQ4331031

F. V. Gubarev, Valentin I. Zakharov

Publication date: 31 July 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0004012

zbMATH Keywords

Lorentz gaugeBerry phasemonopoleWilson loop operator\(SU(2)\)-gauge theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Software, source code, etc. for problems pertaining to quantum theory (81-04) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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Cites Work

• A topological investigation of the quantum adiabatic phase
• Hamiltonian interpretation of anomalies
• Classification theorem for principal fibre bundles, Berry's phase, and exact cyclic evolution
• Coherent states for arbitrary Lie group
• Instantons in QCD
• Quantal phase factors accompanying adiabatic changes
• A note on coherent state representations of Lie groups
• Towards Abelian-like formulation of the dual gluodynamics