Ostrogradsky's Hamilton formalism and quantum corrections

Details Ostrogradsky's Hamilton formalism and quantum corrections Ostrogradsky's Hamilton formalism and quantum corrections

2010-03-23

arxiv.org/abs/1003.4409v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure, REVTeX 4

Scientific paper

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.

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