AI 中文总结
该研究将鬼理论超选规则方法推广至含复共轭极点的非实谱理论，定义交换操作R与超选规则，结合光学定理描述纠缠对的物理割线。
AI 中文摘要
本文将鬼理论的超选规则方法推广至物理叶上包含一对复共轭极点的非实谱理论。两种激发以各自的复质量M和M*标记，超选区以n标记，n为M激发数与M*激发数的差值。对应的广义鬼宇称Q为每个区赋予相位e^(inα)。在Q超选下，仅n=0区存在非零范数，物理态条件Q²|s⟩=|s⟩将态投影至该区域。对于携带实总能量和动量的MM*对，定义交换操作R，R本征态为纠缠对，R超选规则确保概率为正。本文还讨论了光学定理如何描述穿过这些纠缠对的物理割线。
英文摘要
The superselection-rule approach to ghost theories is extended to theories with a nonreal spectrum containing a complex-conjugate pair of poles on the physical sheet. The two excitations are labeled by their respective complex masses, $M$ and $M^*$, and the superselection sectors are labeled by $n$, the difference between the numbers of $M$ and $M^*$ excitations. The corresponding generalized ghost parity $Q$ assigns a phase $e^{inα}$ to each sector. Under $Q$ superselection, nonvanishing norms occur only in the $n=0$ sector, and the physical state condition $Q^{2}|s\rangle=|s\rangle$ projects onto this sector. For a $MM^*$ pair carrying real total energy and momentum, we define a swap operation $R$. The $R$-eigenstates are entangled pairs, and an $R$ superselection rule ensures positive probabilities. We discuss how the optical theorem describes physical cuts through these entangled pairs.
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