AI 中文总结
本文采用协变相空间方法，对带平方加速度微扰的Pais-Uhlenbeck振子进行正则量子化，得到与精确低能理论一致的结果，消除了Ostrogradsky鬼，扩展了微扰量子化方案至高阶导数理论。
AI 中文摘要
本文将协变相空间形式体系应用于Pais-Uhlenbeck振子的微扰正则量子化，把平方加速度项当作微扰处理。我们通过在低能解空间上构造辛形式来量子化该模型，随后以微扰方式计算能谱和非等时对易子，得到与精确低能理论展开一致的结果。该微扰方法绕过了标准的Ostrogradsky构造，自然地消除了Ostrogradsky鬼，本工作将我们先前的微扰量子化方案扩展到了真正的高阶导数理论。
英文摘要
In this paper, we apply the covariant phase space formalism to the perturbative canonical quantization of the Pais-Uhlenbeck oscillator, with the acceleration-squared term treated as a perturbation. We quantize this model by constructing the symplectic form on the low-energy solution space. We then compute the energy spectrum and the unequal-time commutator in a perturbative way, and obtain the results that agree with the expansion of the exact low-energy theory. The perturbation method bypasses the standard Ostrogradsky construction and naturally decouples the Ostrogradsky ghost. This work extends our previous perturbative quantization scheme to genuine higher-derivative theories.
