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On incompleteness of classical field theory

Mathematical Physics 2009-05-26 v1 High Energy Physics - Theory math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3912,
  title  = {On incompleteness of classical field theory},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:0905.3912},
  year   = {2009}
}

Comments

4 pages

R2 v1 2026-06-21T13:05:27.827Z