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Towards an Effective Field Theory on the Light-Shell · Around

2014

Towards an Effective Field Theory on the Light-Shell

Georgi, Howard, Kestin, Greg, Sajjad, Aqil

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We discuss our work toward the construction of a light-shell effective theory (LSET), an effective field theory for describing the matter emerging from high-energy collisions and the accompanying radiation.

We work in the highly simplified venue of 0-flavor scalar quantum electrodynamics, with a gauge invariant product of scalar fields at the origin of space-time as the source of high-energy charged particles.
Working in this simple gauge theory allows us to focus on the essential features of LSET.
We describe how the effective theory is constructed and argue that it can reproduce the full theory tree-level amplitude.

Built on

H. Georgi, “AN EFFECTIVE FIELD THEORY FOR HEAVY QUARKS AT LOW- ENERGIES,” Phys. Lett
1990
Earlier work this paper cites.
M. J. Dugan and B. Grinstein, “QCD basis for factorization in decays of heavy mesons,” Phys.Lett
1991
Earlier work this paper cites.
M. E. Luke and A. V. Manohar, “Reparametrization invariance constraints on heavy particle effective field theories,” Phys. Lett
1992
Earlier work this paper cites.
C. W. Bauer, S. Fleming, and M. E. Luke, “Summing Sudakov logarithms in B → \to (X_s+gamma) in effective field theory,” Phys.Rev
2000
Earlier work this paper cites.

Similar

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
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M. D. Schwartz, “Resummation and NLO matching of event shapes with effective field theory,” Phys.Rev
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H. Georgi, G. Kestin, and A. Sajjad, “Color Fields on the Light-Shell,” arXiv:1004.1404 [hep-ph]
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T. He, P. Mitra, and A. Strominger, “2D Kac-Moody Symmetry of 4D Yang-Mills Theory,” arXiv:1503.02663 [hep-th]
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S. Pasterski, “Asymptotic Symmetries and Electromagnetic Memory,” arXiv:1505.00716 [hep-th]
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H. Georgi, G. Kestin, and A. Sajjad, “The Photon Propagator in Light-Shell Gauge,” arXiv:1312.1741 [hep-ph]
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I. Feige and M. Schwartz, “An on-shell approach to factorization,” arXiv:1306.6341 [hep-th]
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Then

T. Adamo and E. Casali, “Perturbative gauge theory at null infinity,” Phys. Rev
Original
2015
Closest in time.
M. Campiglia and A. Laddha, “Asymptotic symmetries of QED and Weinbergs soft photon theorem,” JHEP
Original
2015
Closest in time.
H. Georgi, G. Kestin, and A. Sajjad, “Radiative Corrections in Light-Shell Effective Theory,” in preparation
2016
Closest in time.

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