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Title: Radiation of scalar modes and the classical double copy

Journal Article · · Journal of High Energy Physics (Online)

The double copy procedure relates gauge and gravity theories through color-kinematics replacements, and holds for both scattering amplitudes and in classical contexts. Moreover, it has been shown that there is a web of theories whose scattering amplitudes are related through operations that exchange color and kinematic factors. In this paper, we generalize and extend this procedure by showing that the classical perturbative double copy of pions corresponds to special Galileons. We consider point-particles coupled to the relevant scalar fields, and find the leading and next to leading order radiation amplitudes. By considering couplings motivated by those that would arise from extracting the longitudinal modes of the gauge and gravity theories, we are able to map the non-linear sigma model radiation to that of the special Galileon. We also construct the single copy by mapping the bi-adjoint scalar radiation to the non-linear sigma model radiation through generalized color-kinematics replacements.

Research Organization:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0013528
OSTI ID:
1612003
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

References (66)

Semi-abelian Z-theory: NLSM+ϕ 3 from the open string journal August 2017
Classical space–times from the S-matrix journal December 2013
The double copy: Bremsstrahlung and accelerating black holes journal June 2016
Pions as gluons in higher dimensions journal April 2018
The classical double copy for Taub–NUT spacetime journal November 2015
Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy journal July 2017
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Multi-centered N = 2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description journal April 2017
Massive gravity journal September 2013
Recursion relations for tree-level amplitudes in the S U ( N ) nonlinear sigma model journal April 2013
Spinning particles, axion radiation, and the classical double copy journal May 2018
Gravity as the square of Yang–Mills? journal September 2015
Bound states and the classical double copy journal April 2018
Classical gluon and graviton radiation from the bi-adjoint scalar double copy journal September 2017
Perturbiner methods for effective field theories and the double copy journal October 2018
Unifying relations for scattering amplitudes journal February 2018
Effective Field Theories from Soft Limits of Scattering Amplitudes journal June 2015
Radiation and the classical double copy for color charges journal June 2017
Amplitude relations in non-linear sigma model journal January 2014
Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal August 2010
Perturbative spacetimes from Yang-Mills theory journal April 2017
Einstein-Yang-Mills from pure Yang-Mills amplitudes journal October 2016
Black holes and the double copy journal December 2014
The Kerr-Schild double copy in curved spacetime journal December 2017
Relationship between gravity and gauge scattering in the high energy limit journal January 2013
The classical double copy in maximally symmetric spacetimes journal April 2018
Symmetry for Flavor-Kinematics Duality from an Action journal March 2017
Geometry of special Galileons journal March 2017
The Quantum Theory of Fields, Volume 2: Modern Applications book May 2013
Kerr-Schild double field theory and classical double copy journal October 2018
Screw-symmetric gravitational waves: A double copy of the vortex journal July 2018
More on cosmological gravitational waves and their memories journal September 2017
Are all supergravity theories Yang–Mills squared? journal September 2018
Probing scalar effective field theories with the soft limits of scattering amplitudes journal April 2017
Massive Gravity journal August 2014
Inelastic black hole scattering from charged scalar amplitudes journal March 2018
Field Theory for Today: The Quantum Theory of Fields . Volume 1, Foundations. Steven Weinberg. Cambridge University Press, New York, 1995. xxvi, 609 pp. $49.95 or £35. journal September 1995
Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string journal June 2017
Explicit BCJ numerators of nonlinear simga model journal September 2016
Theoretical aspects of massive gravity journal May 2012
Gravity as the square of gauge theory journal September 2010
Note on differential operators, CHY integrands, and unifying relations for amplitudes journal September 2018
Scattering Amplitudes in Gauge Theory and Gravity book January 2015
New relations for gauge-theory amplitudes journal October 2008
Yang-Mills Origin of Gravitational Symmetries journal December 2014
Hidden symmetry of the Galileon journal July 2015
A double copy for N = 2 $$ \mathcal{N}=2 $$ supergravity: a linearised tale told on-shell journal October 2016
Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy journal August 2016
Radiative double copy for Einstein-Yang-Mills theory journal April 2018
Tree-level amplitudes in the nonlinear sigma model journal May 2013
Massive gravity journal January 2006
The Quantum Theory of Fields journal October 1964
Theoretical Aspects of Massive Gravity text January 2011
Relationship Between Gravity and Gauge Scattering in the High Energy Limit text January 2012
Amplitude Relations in Non-linear Sigma Model text January 2013
Massive Gravity text January 2014
The double copy: Bremsstrahlung and accelerating black holes text January 2016
Einstein-Yang-Mills from pure Yang-Mills amplitudes text January 2016
Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string text January 2016
More On Cosmological Gravitational Waves And Their Memories text January 2016
Pions as Gluons in Higher Dimensions text January 2017
The Kerr-Schild double copy in curved spacetime text January 2017
Inelastic Black Hole Scattering from Charged Scalar Amplitudes text January 2017
Note on differential operators, CHY integrands, and unifying relations for amplitudes text January 2018
Perturbiner Methods for Effective Field Theories and the Double Copy text January 2018
Are all supergravity theories Yang-Mills squared? text January 2017

Cited By (6)

Type D spacetimes and the Weyl double copy journal February 2019
Double copy for massive quantum particles with spin text January 2019
The self-dual classical double copy, and the Eguchi-Hanson instanton text January 2018
Type D Spacetimes and the Weyl Double Copy text January 2018
An Algebraic Classification of Exceptional EFTs text January 2019
The Classical Double Copy of a Point Charge text January 2019

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