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Quantum Ostrogradsky theorem
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DOI：10.1007/JHEP09(2020)032.png)
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摘要
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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:
Cosmology of Theories beyond the SM
Differential and Algebraic Geometry
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IF:
5.5
论文数:
4.0W
被引数:
13.7W
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