| Title:
|
Symplectic solution supermanifolds in field theory (English) |
| Author:
|
Schmitt, T. |
| Language:
|
English |
| Journal:
|
Proceedings of the 16th Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1996 |
| Year:
|
|
| 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:
|
2025-06-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701605 |
| . |
