We employ a ghost model of interacting dark energy to obtain the equation of state \(\omega \) for ghost energy density in an FRW universe in complex quintessence theory. We reconstruct the potential and study the dynamics of the scalar field that describes complex quintessence cosmology. We perform \(\omega -\omega '\) analysis and stability analysis for both non-interacting and interacting cases and find that the same basic conclusion as for the real model, where \(\omega ' = d\omega / d ln a\). Taking account of the effect of the complex part and assuming the real part of the quintessence field to be a slow-rolling field, we conclude that the non-interacting model cannot describe the real universe since this will lead to fractional energy density \(\Omega _D > 1\), where \(\Omega _D\) can be defined as the ratio of \(\rho _D\) to \(\rho _{cr}\). However, for the interacting case, if we take present \(\Omega _D =0.73\), then we can determine that \(b^2 = 0.0849\), where \(b^2\) is the interaction coupling parameter between matter and dark energy. In the real quintessence model, \(\Omega _D\) and \(b^2\) are independent parameters, whereas in the complex quintessence model, we conclude that there is a relationship between these two parameters.

我们使用相互作用的暗能量的幻影模型来获得复杂典型论中FRW宇宙中幻影能量密度的状态方程（\ omega \）。我们重建了潜力，并研究了描述复杂的典型宇宙学的标量场的动力学。我们对非交互和交互情况都执行\（\ omega-\ omega'\）分析和稳定性分析，发现与真实模型具有相同的基本结论，其中\（\ omega'= d \ omega / d ln a \）。考虑到复杂部分的影响，并假设典型场的实部是一个缓慢滚动的场，我们得出结论，非相互作用模型无法描述真实宇宙，因为这将导致分数能量密度\（\ Omega _D> 1 \），其中\（\ Omega _D \）可以定义为\（\ rho _D \）与\（\ rho _ {cr} \）的比率。但是，对于交互情况，如果我们采用当前\（\ Omega _D = 0.73 \），则可以确定\（b ^ 2 = 0.0849 \），其中\（b ^ 2 \）是之间的交互耦合参数物质和暗能量。在实际的精华模型中，\（\ Omega _D \）和\（b ^ 2 \）是独立的参数，而在复杂的精华模型中，我们得出结论，这两个参数之间存在关系。