Low's Subleading Soft Theorem as a Symmetry of QED

Vyacheslav Lysov, Sabrina Pasterski, Andrew Strominger
2014 Physical Review Letters  
It was shown by F. Low in the 1950s that the subleading terms of soft photon S-matrix elements obey a universal linear relation. In this paper we give a new interpretation to this old relation, for the case of massless QED, as an infinitesimal symmetry of the S-matrix. The symmetry is shown to be locally generated by a vector field on the conformal sphere at null infinity. Explicit expressions are constructed for the associated charges as integrals over null infinity and shown to generate the
more » ... mmetry. These charges are local generalizations of electric and magnetic dipole charges.
doi:10.1103/physrevlett.113.111601 pmid:25259965 fatcat:ud6mjsg2jfap3dbmyggye4qepy