English

Ostrogradsky's Hamilton formalism and quantum corrections

High Energy Physics - Theory 2015-03-13 v1

Abstract

By means of a simple scalar field theory it is demonstrated that the Lagrange formalism and Ostrogradsky's Hamilton formalism in the presence of higher derivatives, in general, do not lead to the same results. While the two approaches are equivalent at the classical level, differences appear due to the quantum corrections.

Keywords

Cite

@article{arxiv.1003.4409,
  title  = {Ostrogradsky's Hamilton formalism and quantum corrections},
  author = {J. Gegelia and S. Scherer},
  journal= {arXiv preprint arXiv:1003.4409},
  year   = {2015}
}

Comments

10 pages, 1 figure, REVTeX 4

R2 v1 2026-06-21T15:01:18.258Z