DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Large gauge transformations and little group for soft photons

Abstract

Recently, large gauge transformation (LGT), the residual gauge symmetry after gauge fixing that survives at null infinity, has drawn much attention concerning soft theorems and the memory effect. We point out that LGT charges in quantum electrodynamics are in fact one of noncompact generators of the two dimensional Euclidean group. Moreover, by comparing two equivalent descriptions of gauge transformation, we suggest that LGT is simply another way of describing the gauged little group for massless soft photons.

Authors:
 [1];  [2];  [3]
  1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; High Energy Accelerator Research Organization (KEK), Tsukuba (Japan). High Energy Accelerator Research Organization Theory Center. Inst. of particle and nuclear studies
  2. Inst. for Basic Science, Daejeon (Korea, Republic of). Center for Theoretical Physics of the Universe; Chungnam National Univ., Daejeon (Korea, Republic of). Dept. of Physics
  3. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1541127
Alternate Identifier(s):
OSTI ID: 1409463
Grant/Contract Number:  
FG02-95ER40896; FG-02-95ER40896
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 10; 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

Hamada, Yuta, Seo, Min-Seok, and Shiu, Gary. Large gauge transformations and little group for soft photons. United States: N. p., 2017. Web. doi:10.1103/physrevd.96.105013.
Hamada, Yuta, Seo, Min-Seok, & Shiu, Gary. Large gauge transformations and little group for soft photons. United States. https://doi.org/10.1103/physrevd.96.105013
Hamada, Yuta, Seo, Min-Seok, and Shiu, Gary. Mon . "Large gauge transformations and little group for soft photons". United States. https://doi.org/10.1103/physrevd.96.105013. https://www.osti.gov/servlets/purl/1541127.
@article{osti_1541127,
title = {Large gauge transformations and little group for soft photons},
author = {Hamada, Yuta and Seo, Min-Seok and Shiu, Gary},
abstractNote = {Recently, large gauge transformation (LGT), the residual gauge symmetry after gauge fixing that survives at null infinity, has drawn much attention concerning soft theorems and the memory effect. We point out that LGT charges in quantum electrodynamics are in fact one of noncompact generators of the two dimensional Euclidean group. Moreover, by comparing two equivalent descriptions of gauge transformation, we suggest that LGT is simply another way of describing the gauged little group for massless soft photons.},
doi = {10.1103/physrevd.96.105013},
journal = {Physical Review D},
number = 10,
volume = 96,
place = {United States},
year = {Mon Nov 20 00:00:00 EST 2017},
month = {Mon Nov 20 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

On unitary representations of the inhomogeneous lorentz group
journal, March 1989


On BMS invariance of gravitational scattering
journal, July 2014


Gravitational memory, BMS supertranslations and soft theorems
journal, January 2016

  • Strominger, Andrew; Zhiboedov, Alexander
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)086

Representations of the Bondi-Metzner-Sachs Group. IV. Cantoni Representations are Induced
journal, October 1976

  • Crampin, M.; McCarthy, P. J.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 351, Issue 1664
  • DOI: 10.1098/rspa.1976.0129

Representations of the Bondi-Metzner-Sachs Group. III. Poincare Spin Multiplicities and Irreducibility
journal, November 1973

  • McCarthy, P. J.; Crampin, M.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 335, Issue 1602
  • DOI: 10.1098/rspa.1973.0127

BMS supertranslations and Weinberg’s soft graviton theorem
journal, May 2015

  • He, Temple; Lysov, Vyacheslav; Mitra, Prahar
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)151

On Unitary Representations of the Inhomogeneous Lorentz Group
journal, January 1939

  • Wigner, E.
  • The Annals of Mathematics, Vol. 40, Issue 1
  • DOI: 10.2307/1968551

Representations of the Bondi-Metzner-Sachs Group. II. Properties and Classification of the Representations
journal, May 1973

  • McCarthy, P. J.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 333, Issue 1594
  • DOI: 10.1098/rspa.1973.0065

Note on the Radiation Field of the Electron
journal, July 1937


Soft Hair on Black Holes
journal, June 2016


Large gauge symmetries and asymptotic states in QED
journal, December 2016


Gravitational wave memory in dS 4+2 n and 4D cosmology
journal, January 2017


Cosmological memory effect
journal, August 2016


New symmetries of massless QED
journal, October 2014

  • He, Temple; Mitra, Prahar; Porfyriadis, Achilleas P.
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)112

Infrared Photons and Gravitons
journal, October 1965


The Quantum Theory of Fields
book, May 2013


Memory in de Sitter space and Bondi-Metzner-Sachs-like supertranslations
journal, July 2017


Classical limit of black hole quantum N -portrait and BMS symmetry
journal, February 2016


Representations of the Bondi-Metzner-Sachs Group. I. Determination of the Representations
journal, November 1972

  • McCarthy, P. J.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 330, Issue 1583
  • DOI: 10.1098/rspa.1972.0157

On the theory of continuous-spin particles: helicity correspondence in radiation and forces
journal, September 2013


BMS charge algebra
journal, December 2011

  • Barnich, Glenn; Troessaert, Cédric
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)105

Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited
journal, September 2010


Continuous-spin particle field theory with helicity correspondence
journal, January 2015


On the theory of continuous-spin particles: wavefunctions and soft-factor scattering amplitudes
journal, September 2013


Works referencing / citing this record:

One-loop quantum gravitational backreaction on the local Hubble rate
journal, April 2019