Schwinger terms from geometric quantization of field theories

DOI10.1063/1.529288zbMath0729.58060OpenAlexW1967259952MaRDI QIDQ3353865

No author found.

Publication date: 1991

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

Full work available at URL: https://ub-madoc.bib.uni-mannheim.de/1992/1/1990_105.pdf

zbMATH Keywords

Virasoro algebraKähler manifoldsbosonic stringKac-Moody algebracritical dimensiongeometric quantizationFeynman graphsSchwinger termsanomalous commutatorpolynomial observables

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Quantization in field theory; cohomological methods (81T70) Applications of global analysis to the sciences (58Z05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50)

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Yang-Mills and Dirac fields in a bag, constraints and reduction ⋮ Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?

Cites Work

• The BRS method of geometric quantization: Some examples
• BRST cohomology in classical mechanics
• Derivations of Lie brackets and canonical quantisation
• Anomalies from geometric quantization of fermionic field theories
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Holomorphic structure of superstring vacua
• Quantization: Towards a comparison between methods
• Generalized Bergman kernels and geometric quantization