AI 中文总结
基于明显协变局域正则算子形式主义，研究二次引力中破坏S矩阵幺正性的大质量鬼场禁闭，推导BRST四重态渐近场的偶极方程，经两种协变量子化后发现量子Fock空间由多极态张成。
AI 中文摘要
我们基于明显协变且局域的正则算子形式主义，研究了二次引力中破坏物理S矩阵幺正性的大质量鬼场的禁闭问题。首先，我们从偶极场的视角重新考察了二次引力在De Donder规范（谐和规范）下的明显协变量子化。接着，我们还重新探讨了大质量鬼场的一种可能禁闭机制，并推导了BRST四重态渐近场的有效拉格朗日量，其中对应大质量鬼场的渐近场遵循Froissart模型中的偶极场方程，这是我们形式主义的一个特征。为理解该理论的量子特性，我们基于三维傅里叶变换和四维傅里叶变换，以两种不同方式对有效拉格朗日量进行了明显协变量子化，得到了相同结果：量子Fock空间由多极态张成。
英文摘要
We investigate the problem of confinement of massive ghost, which violates the unitarity of the physical S-matrix, in quadratic gravity on the basis of a manifestly covariant and local canonical operator formalism. First, we reconsider the manifestly covariant quantization of quadratic gravity in the de Donder gauge (the harmonic gauge) from the viewpoint of dipole fields. Next, we also reconsider a possible mechanism of confinement of the massive ghost and derive an effective Lagrangian for asymptotic fields of a BRST quartet where the asymptotic field corresponding to the massive ghost is found to obey a dipole field equation as in the Froissart model, which is a characteristic feature in our formalism. To understand quantum aspects of our theory, we perform a manifestly covariant quantization of the effective Lagrangian in two different ways based on the three-dimensional Fourier transform and the four-dimensional Fourier transform, and derive the same result that the quantum Fock space is spanned by multipole states.
Comments34 pages
