Symplectic solution supermanifolds in field theory

Schmitt, T.

  • Proceedings of the 16th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [153]-162

Abstract

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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.

How to cite

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Schmitt, T.. "Symplectic solution supermanifolds in field theory." Proceedings of the 16th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1997. [153]-162. <http://eudml.org/doc/220730>.

@inProceedings{Schmitt1997,
abstract = {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.},
author = {Schmitt, T.},
booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Srní (Czech Republic); Geometry; Physics},
location = {Palermo},
pages = {[153]-162},
publisher = {Circolo Matematico di Palermo},
title = {Symplectic solution supermanifolds in field theory},
url = {http://eudml.org/doc/220730},
year = {1997},
}

TY - CLSWK
AU - Schmitt, T.
TI - Symplectic solution supermanifolds in field theory
T2 - Proceedings of the 16th Winter School "Geometry and Physics"
PY - 1997
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [153]
EP - 162
AB - 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.
KW - Proceedings; Winter school; Srní (Czech Republic); Geometry; Physics
UR - http://eudml.org/doc/220730
ER -

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