论文标题
$ f^μ$和$ c^{νμ} $项之间的等价方面
Aspects of the Equivalence Between the $f^μ$ and $c^{νμ}$ Terms in Lorentz-Violating Quantum Field Theory
论文作者
论文摘要
众所周知，在洛伦兹（Lorentz）的有效田间理论中，尽管操作员的两种类型的系数描述，但某些系数（$ c $和$ f $）之间存在经典等效性，尽管这两种类型的系数似乎在$ \ \ textbf {cpt} $下具有相反的行为。本文是以前的工作的延续，将这一等价扩展到量子级：概括互换$ c $和$ f $项的显式旋转点转换；证明转换不会引起任何其他异常项作为量子水平；并给出明确的处方，以修改$ \ textbf {c} $，$ \ textbf {p} $和$ f textbf {t} $ operators in $ f $理论中的$ \ \ \ \ \ textbf {t} $ operators，以便它们对应于正确的物理粒子状态的正确交换。
It is known that in Lorentz-violating effective field theory, there is a classical equivalence between certain coefficients ($c$ and $f$), in spite of the fact that the operators the two types of coefficients describe appear to have opposite behaviors under $\textbf{CPT}$. This paper is a continuation of previous work extending this equivalence to the quantum level: generalizing the explicit spinorial point transformations that interconvert the $c$ and $f$ terms; demonstrating that the transformations do not give rise to any additional anomaly terms as the quantum level; and giving explicit prescriptions for modifying the $\textbf{C}$, $\textbf{P}$, and $\textbf{T}$ operators in the $f$ theory, so that they correspond to the correct interchanges of physical particle states.
