标题： 协变规范量子化的微扰理论 显示英文标题

标题： Perturbation theory in covariant canonical quantization

摘要： 我研究了协变规范量子化的扰动理论的一个新思想。 我提出了一个带有四次扰动的谐振子玩具模型的初步结果，并证明该方法能够重现标准量子理论中的量子化能谱。 这一结果表明，当经典方程的精确解未知时，通过扰动理论的协变规范量子化可以作为一种可行的近似方案来寻找可观测量，同时提出了一种在量子引力中扩展协变规范量子化范围的物理上有趣的方法。 显示英文摘要

摘要： I investigate a new idea of perturbation theory in covariant canonical quantization. I present preliminary results for a toy model of a harmonic oscillator with a quartic perturbation, and show that this method reproduces the quantized spectrum of standard quantum theory. This result indicates that when the exact solutions to classical equations are not known, covariant canonical quantization via perturbation theory could be a viable approximation scheme for finding observables, and suggests a physically interesting way of extending the scope of covariant canonical quantization in quantum gravity