论文标题
树级单位性,因果关系和高阶洛伦兹和CPT违规
Tree-level unitarity, causality and higher-order Lorentz and CPT violation
论文作者
论文摘要
研究了CPT和Lorentz在中小企业有效框架内违反Myers-Pospelov Dimension-F-Five操作员条款的高阶效应。该模型可以通过特别注意在不确定空间中的不定态或幽灵的产生来量化该模型。众所周知,如果没有避免幽灵模式或任何其他近似传播的扰动治疗,就必须面对一个问题,即是否保留了单位性和微库性。在这项工作中,我们研究两个可能的问题。我们发现,由于取消残基成对或共轭成对时,微量子性得以保留。另外,通过使用Lee-Wick处方,我们证明可以将$ S $矩阵定义为带有内部费米昂线的树级$ 2 \至2 $过程的扰动统一。
Higher-order effects of CPT and Lorentz violation within the SME effective framework including Myers-Pospelov dimension-five operator terms are studied. The model is canonically quantized by giving special attention to the arising of indefinite-metric states or ghosts in an indefinite Fock space. As is well-known, without a perturbative treatment that avoids the propagation of ghost modes or any other approximation, one has to face the question of whether unitarity and microcausality are preserved. In this work, we study both possible issues. We found that microcausality is preserved due to the cancellation of residues occurring in pairs or conjugate pairs when they become complex. Also, by using the Lee-Wick prescription, we prove that the $S$ matrix can be defined as perturbatively unitary for tree-level $2\to 2$ processes with an internal fermion line.