Anomalies from geometric quantization of fermionic field theories

Schaller, P. ; Schwarz, Günter

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URN: urn:nbn:de:bsz:180-madoc-19831
Document Type: Working paper
Year of publication: 1989
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Geometrische Quantisierung , Feldtheorie , Chirale Anomalie
Abstract: Geometrie quantisation on (infinite dimensional) graded symplectic manifolds is elaborated for a restricted class of phase spaces. The formalism indudes the treatment of femionic field theories. The chiral anomaly (U(1)-anomaly) as well as the non abelian (covariant) anomaly of D-dimensional non Abelian gauge theories is calculated in this framework. Thus previous work of the present authors is generalised.
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