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2016

Subleading soft photons and large gauge transformations

Campiglia, Miguel, Laddha, Alok

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Lysov, Pasterski and Strominger have shown how Low's subleading soft photon theorem can be understood as Ward identities of new symmetries of massless QED.

In this paper we offer a different perspective and show that there exists a class of large $U(1)$ gauge transformations such that (i) the associated (electric and magnetic) charges can be computed from first principles (ii) their Ward identities are equivalent to Low's theorem.
Our framework paves the way to analyze the sub-subleading theorem in gravity in terms of Ward identities associated to large diffeomorphisms.

Subleading soft photons and large gauge transformations · Around

Built on

F. E. Low, “Bremsstrahlung of very low-energy quanta in elementary particle collisions,” Phys. Rev. 110
1958
Earlier work this paper cites.
A. Ashtekar and M. Streubel, “Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity,” Proc. Roy. Soc. Lond. A 376
1981
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A. Ashtekar, “Asymptotic Quantization”, Naples, Italy: Bibliopolis (1987)
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Earlier work this paper cites.
J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys. 31
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Earlier work this paper cites.

Similar

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T. He, P. Mitra, A. P. Porfyriadis and A. Strominger, “New Symmetries of Massless QED,” JHEP 1410
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V. Lysov, S. Pasterski and A. Strominger, “Low’s Subleading Soft Theorem as a Symmetry of QED,” Phys. Rev. Lett. 113
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D. Kapec, M. Pate and A. Strominger, “New Symmetries of QED,” arXiv:1506.02906 [hep-th]
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M. Campiglia, A. Laddha, “Sub-subleading soft gravitons: New symmetries of quantum gravity?”, arXiv:1605.09094
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F. Cachazo and A. Strominger, “Evidence for a New Soft Graviton Theorem,” arXiv:1404.4091 [hep-th]
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Then

M. Campiglia and A. Laddha, “Asymptotic symmetries of QED and Weinberg’s soft photon theorem,” JHEP 1507
2015
Later among the works it cites.
A. Mohd, “A note on asymptotic symmetries and soft-photon theorem,” JHEP 1502
Original
2015
Later among the works it cites.
A. Strominger, “Magnetic Corrections to the Soft Photon Theorem,” Phys. Rev. Lett. 116
Original
2016
Closest in time.

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