论文标题
在$ {\ rm {qed_3}} $中的正电子状态
On positronium states in ${\rm{QED_3}}$
论文作者
论文摘要
在本说明中，我们提出了一种新方法，以$ {\ rm {qed_3}} $调查正电子状态。根据$ \ rm {k \ ddot {a} ll \ acute {e} n-lehmann} $频谱表示，绑定状态的能量特征值是相关函数的极点。使用链近似，我们通过考虑多值函数的单值分支来获得矢量正电子状态的能量特征值。使用相同的方法，我们还可以在多值函数的某个单值分支处找到电子物理质量。我们的结果与已知的结果一致。
In this note, we present a new method to investigate the positronium states in ${\rm{QED_3}}$. According to the $\rm{K\ddot{a}ll\acute{e}n-Lehmann}$ spectral representation, the energy eigenvalues of bound states are poles of the correlation function. Using the chain approximation, we obtain the energy eigenvalues of the vector positronium states by taking into account the single-valued branches of multi-valued function. Using the same method, we also find the electron physical mass at some single-valued branch of multi-value function. Our results are agreement with the known ones.
