Classical mechanics and geometric quantization on an infinite dimensional disc and Grassmannian

DOI10.1063/1.532968zbMath0964.81044arXivmath-ph/9901005OpenAlexW3101993402MaRDI QIDQ4270424

O. Teoman Turgut

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/9901005

zbMATH Keywords

Schrödinger picturenormal orderinglarge-\(N_c\) limitideal \({\mathcal L}^{(2,\infty)} ({\mathcal H}_+, {\mathcal H}_-)\)logarithmic renormalizationtwo-dimensional field theory models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Infinite-dimensional manifolds (58B99)

Related Items (1)

Geometric quantization on the super-disk

Cites Work

• General concept of quantization
• Local invariants of spectral asymmetry
• Measures on infinite dimensional Grassmann manifolds
• The action functional in non-commutative geometry
• Geometric quantization and two dimensional QCD
• Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions
• Elementary derivation of the chiral anomaly
• Schwinger terms and cohomology of pseudodifferential operators
• Vacuum expectation values of products of chiral currents in \(3+1\) dimensions
• The noncommutative residue for manifolds with boundary
• QUANTUM HADRODYNAMICS IN TWO DIMENSIONS

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