Classical field theory is adequately formulated as Lagrangian theory on fibre bundles and graded manifolds. One however observes that non-trivial higher stage Noether identities and gauge symmetries of a generic reducible degenerate Lagrangian field theory fail to be defined. Therefore, such a field theory can not be quantized.
Fermionic fields in the functional approach to classical field theory
Semiclassical quantization of classical field theories
Invariants from classical field theory
![QR code for arXiv:0905.3912 [math-ph]](http://oss.arxitics.com/images/favicon.svg)