English

Low's Subleading Soft Theorem as a Symmetry of QED

High Energy Physics - Theory 2014-09-17 v1 High Energy Physics - Phenomenology

Abstract

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 symmetry. These charges are local generalizations of electric and magnetic dipole charges.

Keywords

Cite

@article{arxiv.1407.3814,
  title  = {Low's Subleading Soft Theorem as a Symmetry of QED},
  author = {Vyacheslav Lysov and Sabrina Pasterski and Andrew Strominger},
  journal= {arXiv preprint arXiv:1407.3814},
  year   = {2014}
}

Comments

11 pages