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2014

New Symmetries of Massless QED

He, Temple, Mitra, Prahar, Porfyriadis, Achilleas P. et al.

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An infinite number of physically nontrivial symmetries are found for abelian gauge theories with massless charged particles.

They are generated by large $U(1)$ gauge transformations that asymptotically approach an arbitrary function $\varepsilon(z,\bar{z})$ on the conformal sphere at future null infinity ($\mathscr I^+$) but are independent of the retarded time.
The value of $\varepsilon$ at past null infinity ($\mathscr I^-$) is determined from that on $\mathscr I^+$ by the condition that it take the same value at either end of any light ray crossing Minkowski space.
The $\varepsilon\neq$ constant symmetries are spontaneously broken in the usual vacuum.

New Symmetries of Massless QED · Around

Built on

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C. W. Bauer, S. Fleming, D. Pirjol and I. W. Stewart, “An Effective field theory for collinear and soft gluons: Heavy to light decays,” Phys. Rev. D 63
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