论文标题
量子ostrogradsky定理
Quantum Ostrogradsky theorem
论文作者
论文摘要
Ostrogradsky定理指出，任何包含高于一阶的时间派生词的经典拉格朗日语，并且相对于最高阶的衍生物而言是非排定的，都会导致无界的哈密顿式化的汉密尔顿人，这线性地依赖于规范时刻。最近，原始定理已被推广到非最高衍生物的非修复学。这些定理在构建明智的高衍生理论中一直发挥着核心作用。我们探讨了这种非化学理论的量化，并证明哈密顿量仍然在量子场理论的水平上保持不受限制。
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.
