Soft factorization in QED from 2D Kac-Moody symmetry

Nande, Anjalika; Pate, Monica; Strominger, Andrew

doi:10.1007/jhep02(2018)079

Title: Soft factorization in QED from 2D Kac-Moody symmetry

Journal Article · Wed Feb 14 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)079· OSTI ID:1505226

Nande, Anjalika ^[1];

^[1]; Strominger, Andrew ^[1]

Harvard Univ., Cambridge, MA (United States). Dept. of Physics

The soft factorization theorem for 4D abelian gauge theory states that the S -matrix factorizes into soft and hard parts, with the universal soft part containing all soft and collinear poles. Similarly, correlation functions on the sphere in a 2D CFT with a U(1) Kac-Moody current algebra factorize into current algebra and non-current algebra factors, with the current algebra factor fully determined by its pole structure. In this paper, we show that these 4D and 2D factorizations are mathematically the same phenomena. The soft ‘t Hooft-Wilson lines and soft photons are realized as a complexified 2D current algebra on the celestial sphere at null infinity. The current algebra level is determined by the cusp anomalous dimension. The associated complex U(1) boson lives on a torus whose modular parameter is τ=$$\frac{2πi}{e^2}$$ + $$\frac{θ}{2π}$$. The correlators of this 2D current algebra fully reproduce the known soft part of the 4D S -matrix, as well as a conjectured generalization involving magnetic charges.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007870

OSTI ID:: 1505226

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 39 works

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References (31)

Asymptotic symmetries of QED and Weinberg’s soft photon theorem Campiglia, Miguel; Laddha, Alok Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)115	journal	July 2015
S-Duality and Helicity Amplitudes Colwell, Kitran; Terning, John arXiv https://doi.org/10.48550/arxiv.1510.07627	text	January 2015
Asymptotic symmetries of Yang-Mills theory Strominger, Andrew Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)151	journal	July 2014
A note on asymptotic symmetries and soft-photon theorem Mohd, Arif arXiv https://doi.org/10.48550/arxiv.1412.5365	text	January 2014
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere Pasterski, Sabrina; Shao, Shu-Heng; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1701.00049	text	January 2017
4D scattering amplitudes and asymptotic symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)112	journal	January 2017
Asymptotic Symmetries of Yang-Mills Theory Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1308.0589	text	January 2013
Jet structure and infrared sensitive quantities in perturbative QCD Bassetto, A.; Ciafaloni, M.; Marchesini, G. Physics Reports, Vol. 100, Issue 4 https://doi.org/10.1016/0370-1573(83)90083-2	journal	November 1983
Infrared divergences in QED revisited Kapec, Daniel; Perry, Malcolm; Raclariu, Ana-Maria Physical Review D, Vol. 96, Issue 8 https://doi.org/10.1103/PhysRevD.96.085002	journal	October 2017
Magnetic Corrections to the Soft Photon Theorem Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1509.00543	text	January 2015
New symmetries of massless QED He, Temple; Mitra, Prahar; Porfyriadis, Achilleas P. Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)112	journal	October 2014
Projectors, Shadows, and Conformal Blocks Simmons-Duffin, David arXiv https://doi.org/10.48550/arxiv.1204.3894	text	January 2012
Remarks on Asymptotic Symmetries and the Sub-leading Soft Photon Theorem Conde, Eduardo; Mao, Pujian arXiv https://doi.org/10.48550/arxiv.1605.09731	text	January 2016
Infrared divergences in QED revisited Kapec, Daniel; Perry, Malcolm; Raclariu, Ana-Maria Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.62215	text	January 2017
2D Kac-Moody symmetry of 4D Yang-Mills theory He, Temple; Mitra, Prahar; Strominger, Andrew Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.58713	text	January 2016
Infrared Divergences in QED, Revisited Kapec, Daniel; Perry, Malcolm; Raclariu, Ana-Maria arXiv https://doi.org/10.48550/arxiv.1705.04311	text	January 2017
Null to time-like infinity Green's functions for asymptotic symmetries in Minkowski spacetime Campiglia, Miguel arXiv https://doi.org/10.48550/arxiv.1509.01408	text	January 2015
Noether’s second theorem and Ward identities for gauge symmetries Avery, Steven G.; Schwab, Burkhard U. W. Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)031	journal	February 2016
4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman arXiv https://doi.org/10.48550/arxiv.1609.00732	text	January 2016
2D Kac-Moody symmetry of 4D Yang-Mills theory He, Temple; Mitra, Prahar; Strominger, Andrew Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)137	journal	October 2016
Magnetic Corrections to the Soft Photon Theorem Strominger, Andrew Physical Review Letters, Vol. 116, Issue 3 https://doi.org/10.1103/PhysRevLett.116.031602	journal	January 2016
2D Kac-Moody Symmetry of 4D Yang-Mills Theory He, Temple; Mitra, Prahar; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1503.02663	text	January 2015
Noether's Second Theorem and Ward Identities for Gauge Symmetries Avery, Steven G.; Schwab, Burkhard U. W. arXiv https://doi.org/10.48550/arxiv.1510.07038	text	January 2015
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
Flat space amplitudes and conformal symmetry of the celestial sphere Pasterski, Sabrina; Shao, Shu-Heng; Strominger, Andrew Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.065026	journal	September 2017
Subleading soft photons and large gauge transformations Campiglia, Miguel; Laddha, Alok Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/JHEP11(2016)012	journal	November 2016
Projectors, shadows, and conformal blocks Simmons-Duffin, David Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)146	journal	April 2014
Hard-soft-collinear factorization to all orders Feige, Ilya; Schwartz, Matthew D. Physical Review D, Vol. 90, Issue 10 https://doi.org/10.1103/PhysRevD.90.105020	journal	November 2014
Scattering of Light of Very Low Frequency by Systems of Spin ½ Low, F. E. Physical Review, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRev.96.1428	journal	December 1954
Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions Low, F. E. Physical Review, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRev.110.974	journal	May 1958
Renormalization of the Wilson loops beyond the leading order Korchemsky, G. P.; Radyushkin, A. V. Nuclear Physics B, Vol. 283 https://doi.org/10.1016/0550-3213(87)90277-X	journal	January 1987

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