Infrared divergences in QED revisited
Abstract
Recently it has been demonstrated that the vacuum state in QED is infinitely degenerate. Moreover a transition among the degenerate vacua is induced in any nontrivial scattering process and determined from the associated soft factor. Conventional computations of scattering amplitudes in QED do not account for this vacuum degeneracy and therefore always give zero. This vanishing of all conventional QED amplitudes is usually attributed to infrared divergences. In this work, we show that if these vacuum transitions are properly accounted for, the resulting amplitudes are nonzero and infrared finite. Our construction of finite amplitudes is mathematically equivalent to, and amounts to a physical reinterpretation of, the 1970 construction of Faddeev and Kulish.
 Authors:

 Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
 Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics
 Publication Date:
 Research Org.:
 Harvard Univ., Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1598788
 Alternate Identifier(s):
 OSTI ID: 1398824
 Grant/Contract Number:
 SC0007870
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 8; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Kapec, Daniel, Perry, Malcolm, Raclariu, AnaMaria, and Strominger, Andrew. Infrared divergences in QED revisited. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.085002.
Kapec, Daniel, Perry, Malcolm, Raclariu, AnaMaria, & Strominger, Andrew. Infrared divergences in QED revisited. United States. doi:10.1103/PhysRevD.96.085002.
Kapec, Daniel, Perry, Malcolm, Raclariu, AnaMaria, and Strominger, Andrew. Tue .
"Infrared divergences in QED revisited". United States. doi:10.1103/PhysRevD.96.085002. https://www.osti.gov/servlets/purl/1598788.
@article{osti_1598788,
title = {Infrared divergences in QED revisited},
author = {Kapec, Daniel and Perry, Malcolm and Raclariu, AnaMaria and Strominger, Andrew},
abstractNote = {Recently it has been demonstrated that the vacuum state in QED is infinitely degenerate. Moreover a transition among the degenerate vacua is induced in any nontrivial scattering process and determined from the associated soft factor. Conventional computations of scattering amplitudes in QED do not account for this vacuum degeneracy and therefore always give zero. This vanishing of all conventional QED amplitudes is usually attributed to infrared divergences. In this work, we show that if these vacuum transitions are properly accounted for, the resulting amplitudes are nonzero and infrared finite. Our construction of finite amplitudes is mathematically equivalent to, and amounts to a physical reinterpretation of, the 1970 construction of Faddeev and Kulish.},
doi = {10.1103/PhysRevD.96.085002},
journal = {Physical Review D},
number = 8,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}
Web of Science
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Works referencing / citing this record:
Note on soft photons and Faddeev–Jackiw symplectic reduction of quantum electrodynamics in the eikonal limit
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