Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Loop-corrected Virasoro symmetry of 4D quantum gravity

Abstract

Recently a boundary energy-momentum tensor T zz has been constructed from the soft graviton operator for any 4D quantum theory of gravity in asymptotically flat space. Up to an “anomaly” which is one-loop exact, T zz generates a Virasoro action on the 2D celestial sphere at null infinity. Here we show by explicit construction that the effects of the IR divergent part of the anomaly can be eliminated by a one-loop renormalization that shifts T zz .

Authors:
 [1];  [1];  [1];  [1]
+ Show Author Affiliations
  1. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1425399
Grant/Contract Number:  
FG02-91ER40654
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; models of quantum gravity; scattering amplitudes; space-time symmetries

Citation Formats

He, T., Kapec, D., Raclariu, A., and Strominger, A. Loop-corrected Virasoro symmetry of 4D quantum gravity. United States: N. p., 2017. Web. doi:10.1007/JHEP08(2017)050.
Copy to clipboard
He, T., Kapec, D., Raclariu, A., & Strominger, A. Loop-corrected Virasoro symmetry of 4D quantum gravity. United States. https://doi.org/10.1007/JHEP08(2017)050
Copy to clipboard
He, T., Kapec, D., Raclariu, A., and Strominger, A. Wed . "Loop-corrected Virasoro symmetry of 4D quantum gravity". United States. https://doi.org/10.1007/JHEP08(2017)050. https://www.osti.gov/servlets/purl/1425399.
Copy to clipboard
@article{osti_1425399,
title = {Loop-corrected Virasoro symmetry of 4D quantum gravity},
author = {He, T. and Kapec, D. and Raclariu, A. and Strominger, A.},
abstractNote = {Recently a boundary energy-momentum tensor T zz has been constructed from the soft graviton operator for any 4D quantum theory of gravity in asymptotically flat space. Up to an “anomaly” which is one-loop exact, T zz generates a Virasoro action on the 2D celestial sphere at null infinity. Here we show by explicit construction that the effects of the IR divergent part of the anomaly can be eliminated by a one-loop renormalization that shifts T zz .},
doi = {10.1007/JHEP08(2017)050},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2017,
place = {United States},
year = {Wed Aug 16 00:00:00 EDT 2017},
month = {Wed Aug 16 00:00:00 EDT 2017}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/JHEP08(2017)050
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 51 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Asymptotic conditions and infrared divergences in quantum electrodynamics
journal, January 1971

  • Kulish, P. P.; Faddeev, L. D.
  • Theoretical and Mathematical Physics, Vol. 4, Issue 2
  • DOI: 10.1007/BF01066485

Coherent Soft-Photon States and Infrared Divergences. III. Asymptotic States and Reduction Formulas
journal, October 1968

Superrotation charge and supertranslation hair on black holes
journal, May 2017

  • Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)161

Infinities within graviton scattering amplitudes
journal, February 1997

Infrared Photons and Gravitons
journal, October 1965

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix
journal, August 2014

  • Kapec, Daniel; Lysov, Vyacheslav; Pasterski, Sabrina
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)058

Infrared Divergence in Quantum Electrodynamics
journal, November 1965

Aspects of the BMS/CFT correspondence
journal, May 2010

  • Barnich, Glenn; Troessaert, Cédric
  • Journal of High Energy Physics, Vol. 2010, Issue 5
  • DOI: 10.1007/JHEP05(2010)062

Coherent Soft-Photon States and Infrared Divergences. II. Mass-Shell Singularities of Green's Functions
journal, September 1968

Coherent Soft-Photon States and Infrared Divergences. IV. The Scattering Operator
journal, November 1968

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

A holographic reduction of Minkowski space–time
journal, August 2003

Asymptotic states of massive particles interacting with the gravitational field
journal, January 1971

  • Kulish, P. P.
  • Theoretical and Mathematical Physics, Vol. 6, Issue 1
  • DOI: 10.1007/BF01037574

Loop corrections to soft theorems in gauge theories and gravity
journal, December 2014

  • He, Song; Huang, Yu-tin; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)115

Construction of an asymptotic S matrix for perturbative quantum gravity
journal, October 2013

  • Ware, John; Saotome, Ryo; Akhoury, Ratindranath
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)159

4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

  • Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)112

Eikonal methods applied to gravitational scattering amplitudes
journal, May 2011

  • Naculich, Stephen G.; Schnitzer, Howard J.
  • Journal of High Energy Physics, Vol. 2011, Issue 5
  • DOI: 10.1007/JHEP05(2011)087

Local contributions to factorized soft graviton theorems at loop level
journal, June 2015

Aspects of the BMS/CFT correspondence
conference, April 2011

  • Barnich, Glenn; Troessaert, Cédric
  • Proceedings of Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity — PoS(CNCFG2010)
  • DOI: 10.22323/1.127.0010

Asymptotic Conditions and Infrared Divergences in Quantum Electrodynamics
book, February 2016

Aspects of the BMS/CFT correspondence
text, January 2010

Loop Corrections to Soft Theorems in Gauge Theories and Gravity
text, January 2014

4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
text, January 2016

Superrotation Charge and Supertranslation Hair on Black Holes
text, January 2016

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Subleading soft theorem for arbitrary number of external soft photons and gravitons
    journal, January 2019

    • Bhatkar, Sayali Atul; Sahoo, Biswajit
    • Journal of High Energy Physics, Vol. 2019, Issue 1
    • DOI: 10.1007/jhep01(2019)153

    A d-dimensional stress tensor for Minkd+2 gravity
    journal, May 2018

    Sub-subleading soft graviton theorem in generic theories of quantum gravity
    journal, October 2017

    Logarithmic terms in the soft expansion in four dimensions
    journal, October 2018

    Loop corrected soft photon theorem as a Ward identity
    journal, October 2019

    A $d$-Dimensional Stress Tensor for Mink$_{d+2}$ Gravity
    text, January 2017

    Subleading Soft Theorem for arbitrary number of external soft photons and gravitons
    preprint, January 2018

    Loop Corrected Soft Photon Theorem as a Ward Identity
    text, January 2019

      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: