Quantum Ostrogradsky theorem
Keyword(s):
Abstract 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 non-degenerate theories, and prove that Hamiltonian is still unbounded at the level of quantum field theory.
Keyword(s):
Keyword(s):
2019 ◽
Vol 34
(23)
◽
pp. 1950186
◽
Keyword(s):
1985 ◽
Vol 397
(1813)
◽
pp. 341-374
◽
Keyword(s):
Keyword(s):
Keyword(s):