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arXiv · 1704.05071

Special Relativity from Soft Gravitons

Mark P. Hertzberg·McCullen Sandora
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Abstract

We study all translationally and rotationally invariant local theories involving massless spin 2 and spin 1 particles that mediate long range forces, allowing for general energy relations and violation of boost invariance. Although gauge invariance is not a priori required to describe non Lorentz invariant theories, we first establish that locality requires `soft gauge invariance'. Then by taking the soft graviton limit in scattering amplitudes, we prove that in addition to the usual requirement of universal graviton couplings, the special relativistic energy-momentum relation is also required and must be exact. We contrast this to the case of theories with only spin $\leq1$ particles, where, although we can still derive charge conservation from locality, special relativity can be easily violated. We provide indications that the entire structure of relativity can be built up from spin 2 in this fashion.

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Mark P. Hertzberg, McCullen Sandora. 2017-04-17. Special Relativity from Soft Gravitons. https://doi.org/10.1103/physrevd.96.084048

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