I have some doubts about minimal coupling of a field of spin 2 for example, with the electromagnetism and I hope someone can help me to clarify them.(adsbygoogle = window.adsbygoogle || []).push({});

According to Pauli and Fierz one couples the field with electromagnetism introducing the covariant derivative at the level of the Lagrangian, but, does the field need to be complexified in the lagrangian in order to maintain the same degrees of freedom than before we turn on the electromagnetic interaction?

At least that is what I have seen in the literature but I don't have clear why complexify the field.

Thank you.

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# Minimal coupling of a Field with electromagnetism

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