We study in this paper non-relativistic properties of the non-hermitian and PT symmetric QED, in special the Pauli-Schrödinger Hamiltonian. It is shown that the scattering potential computed in terms of the Born approximation receives phenomenological modifications due to non-hermitian effects. In one side, we observe that the non-hermiticity changes the electric coupling as well as the magnetic coupling; on the other hand, and more important, the model induces two new types of phenomenological interactions: i) an electric dipole coupling and ii) a toroidal coupling. Under the light of these results, and also that the extraordinary agreement of the Standard Model with experiment nearly excludes any significant amount of non-Hermitian couplings, we establish an analysis for each coupling in terms of their experimental data to set stringent bounds upon the axial parameters of the non-hermitian model.

中文翻译：

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关于非厄米特 QED 中电偶极矩和环形矩的存在


在本文中，我们研究了非厄米特和 PT 对称 QED 的非相对论性质，特别是保利-薛定谔哈密顿量。结果表明，由于 non-hermitian 效应，根据 Born 近似计算的散射势会受到现象学的修改。在一侧，我们观察到非气密性改变了电耦合和磁耦合;另一方面，更重要的是，该模型引发了两种新型的现象学相互作用：i） 电偶极子耦合和 ii） 环形耦合。鉴于这些结果，以及标准模型与实验的非凡一致性几乎排除了任何大量的非厄米耦合，我们根据每个耦合的实验数据建立了分析，以对非厄米特模型的轴向参数设定严格的界限。