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Title: Symplectic solution supermanifolds in field theory (English)
Author: Schmitt, T.
Language: English
Journal: Proceedings of the 16th Winter School "Geometry and Physics"
Issue: 1996
Pages: [153]-162
Category: math
Summary: Summary: For a large class of classical field models used for realistic quantum field theoretic models, an infinite-dimensional supermanifold of classical solutions in Minkowski space can be constructed. This solution supermanifold carries a natural symplectic structure; the resulting Poisson brackets between the field strengths are the classical prototypes of the canonical (anti-) commutation relations. Moreover, we discuss symmetries and the Noether theorem in this context. (English)
MSC: 37J99
MSC: 58A50
MSC: 58F05
MSC: 70Sxx
MSC: 81S05
MSC: 81T10
idZBL: Zbl 0881.58024
idMR: MR1469032
Date available: 2009-07-13T21:38:37Z
Last updated: 2012-09-18
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