Elements of Geometric Quantization and Applications to Fields and Fluids

Abstract

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of view. The original notes are posted at \verb+http://theorphyslab-ysu.info/VW_ASW-2014/uploads/ArmeniaLectures.pdf+. The have been revised with some additions and changes, although referencing is still somewhat dated. These notes are posted here as they may be good background material for some recent papers.

69 pages

Cited by in corpus (14)

• Landau-Hall States and Berezin-Toeplitz Quantization of Matrix Algebras
• Quantization: History and Problems
• The role of the spin connection in quantum Hall effect: A perspective from geometric quantization
• Ferromagnets, a New Anomaly, Instantons, and (noninvertible) Continuous Translations
• An Action for the Infrared Regime of Gauge Theories and the Problem of Color Transformations
• Spin Entropy
• Relativistic Anyon Beam: Construction and Properties
• The contour gauge in use: telling untold
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Abelian Chern-Simons theory on the torus and physical views on the Hecke operators
• Some properties of zero-mode wave functions in abelian Chern-Simons theory on the torus
• Extended Field Theories as higher Kaluza-Klein theories
• Coherent-state path integrals in the continuum via geometric de-quantization
• A Note on Coherent States for Virasoro Orbits