The soft limit also implies that massless spin-2 particles (gravitons) must have self- interactions.
a To warm up, consider the soft limit of massless spin-1 particles coupled to scalars (as in scalar QED). Just assuming generic interactions (not the scalar QED lagrangian), show that there must be an AAphiphi interaction for Compton scattering to be Lorentz invariant.
The soft limit also implies that massless spin-2 particles (gravitons) must have self- interactions. a To warm up, consi
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