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2016

Large Gauge Symmetries and Asymptotic States in QED

Gabai, Barak, Sever, Amit

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Understand

Large Gauge Transformations (LGT) are gauge transformations that do not vanish at infinity.

Instead, they asymptotically approach arbitrary functions on the conformal sphere at infinity.
Recently, it was argued that the LGT should be treated as an infinite set of global symmetries which are spontaneously broken by the vacuum.
It was established that in QED, the Ward identities of their induced symmetries are equivalent to the Soft Photon Theorem.

Large Gauge Symmetries and Asymptotic States in QED · Around

Built on

V. Chung, “Infrared Divergence in Quantum Electrodynamics,” Phys. Rev. 140
1965
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T. W. B. Kibble, “Coherent soft-photon states and infrared divergences. ii. mass-shell singularities of green’s functions,” Phys. Rev. 173
1968
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, “Asymptotic conditions and infrared divergences in quantum electrodynamics,” Theor. Math. Phys. 4
1970
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E. Bagan, M. Lavelle and D. McMullan, "Charges from dressed matter: Construction," Annals Phys. 282, 471 (2000) [hep-ph/9909257]
2000
Earlier work this paper cites.

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F. Cachazo and E. Y. Yuan, “Are Soft Theorems Renormalized?,” arXiv:1405.3413 [hep-th]
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Then

M. Campiglia and A. Laddha, “Asymptotic symmetries of QED and Weinberg’s soft photon theorem,” JHEP 1507
Original
2015
Later among the works it cites.
T. He, V. Lysov, P. Mitra and A. Strominger, “BMS supertranslations and Weinberg’s soft graviton theorem,” JHEP 1505
Original
2015
Later among the works it cites.
A. P. Balachandran, S. Kurkcuoglu, A. R. de Queiroz and S. Vaidya, “Spontaneous Lorentz Violation: The Case of Infrared QED,” Eur. Phys. J. C 75
Original
2015
Later among the works it cites.
S. W. Hawking, M. J. Perry and A. Strominger, “Soft Hair on Black Holes,” Phys. Rev. Lett. 116
Original
2016
Closest in time.

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