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Ward-Takahashi identity for the electromagnetic current of two-particle systems on the light front

机译:两粒子系统在光前的电磁电流的沃德-高桥身份

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摘要

The problem of nonconservation of the electromagnetic current for two-boson systems on the light front obtained by truncation of the quasi-potential expansion is studied. We found that current conservation can be restored by a subtle choice of the truncation of the expansion of the current operator, while the naive truncation of the expansion of both current and effective interaction violates covariance and current conservation. The framework allows to treat at the same level the current operator for bound and scattering states. The generalization to two-fermion systems is briefly discussed.
机译:研究了通过截断准电势展开获得的两玻色子系统在光前沿的电磁电流不守恒的问题。我们发现,可以通过对当前算子扩展的截断的精妙选择来恢复当前守恒,而对当前和有效交互的扩展的幼稚截断则违反了协方差和当前守恒。该框架允许在相同级别上将当前运算符用于绑定和散射状态。简要讨论了对两费米子系统的推广。

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