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Title: 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:
 [1];  [2];  [1];  [1]
  1. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
  2. 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) (SC-25)
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 2470-0010
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, Ana-Maria, 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, Ana-Maria, & Strominger, Andrew. Infrared divergences in QED revisited. United States. doi:10.1103/PhysRevD.96.085002.
Kapec, Daniel, Perry, Malcolm, Raclariu, Ana-Maria, 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, Ana-Maria 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}
}

Journal Article:
Free Publicly Available Full Text
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Citation Metrics:
Cited by: 31 works
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Works referenced in this record:

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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
    journal, September 2018