Understand
We consider the scattering of massless particles coupled to an abelian gauge field in 2n-dimensional Minkowski spacetime.
- Weinberg's soft photon theorem is recast as Ward identities for infinitely many new nontrivial symmetries of the massless QED S-matrix, with one such identity arising for each propagation direction of the soft photon.
- These symmetries are identified as large gauge transformations with angle-dependent gauge parameters that are constant along the null generators of null infinity.
- Almost all of the symmetries are spontaneously broken in the standard vacuum and the soft photons are the corresponding Goldstone bosons.
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