The Ostrogradsky instability can be overcome by quantum physics
High Energy Physics - Theory
2021-08-25 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
In theories with higher time derivatives, the Hamiltonian analysis of Ostrogradsky predicts an instability. However, this Hamiltonian treatment does not correspond the way that these theories are treated in quantum field theory, and the instability may be avoided in at least some cases. We present a very simple model which illustrates these features.
Keywords
Cite
@article{arxiv.2105.00898,
title = {The Ostrogradsky instability can be overcome by quantum physics},
author = {John F Donoghue and Gabriel Menezes},
journal= {arXiv preprint arXiv:2105.00898},
year = {2021}
}
Comments
11 pages, 2 figures Some references and comments added