Built on

R. P. Woodard, Scholarpedia 10
Original
2015
Earlier work this paper cites.
H. Motohashi and T. Suyama, Phys. Rev. D91
Original
2015
Earlier work this paper cites.

Similar

D. Langlois and K. Noui, JCAP 1602
Original
2016
Cited alongside, same era.
H. Motohashi, K. Noui, T. Suyama, M. Yamaguchi, and D. Langlois, JCAP 1607
Original
2016
Cited alongside, same era.
M. Ostrogradsky, Mem. Acad. St. Petersbourg 6
Cited in the paper.
H. Motohashi, T. Suyama, and M. Yamaguchi, J. Phys. Soc. Jap. 87
Original
Cited in the paper.
H. Motohashi, T. Suyama, and M. Yamaguchi, JHEP 06
Original
Cited in the paper.

Then

M. Raidal and H. Veermäe, Nucl. Phys. B 916
Original
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Quantum Ostrogradsky theorem

Motohashi, Hayato, Suyama, Teruaki

Understand

The Ostrogradsky theorem states that any classical Lagrangian that contains time derivatives higher than the first order and is nondegenerate with respect to the highest-order derivatives leads to an unbounded Hamiltonian which linearly depends on the canonical momenta.

Recently, the original theorem has been generalized to nondegeneracy with respect to non-highest-order derivatives.
These theorems have been playing a central role in construction of sensible higher-derivative theories.
We explore quantization of such nondegenerate theories, and prove that Hamiltonian is still unbounded at the level of quantum field theory.