Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Symmetry for Flavor-Kinematics Duality from an Action

Journal Article · · Physical Review Letters
 [1];  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; California Institute of Technology
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
In this paper, we propose a new representation of the nonlinear sigma model that exhibits a manifest duality between flavor and kinematics. The fields couple exclusively through cubic Feynman vertices which define the structure constants of an underlying kinematic algebra. The action is invariant under a combination of internal and spacetime symmetries whose conservation equations imply flavor-kinematics duality, ensuring that all Feynman diagrams satisfy kinematic Jacobi identities. Substituting flavor for kinematics, we derive a new cubic action for the special Galileon theory. Finally, in this picture, the vanishing soft behavior of amplitudes is a by-product of the Weinberg soft theorem.
Research Organization:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0010255
OSTI ID:
1424592
Alternate ID(s):
OSTI ID: 1348051
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 118; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (29)

Amplitude relations in non-linear sigma model journal January 2014
A periodic table of effective field theories journal February 2017
The kinematic algebras from the scattering equations journal March 2014
Extensions of theories from soft limits journal June 2016
The kinematic algebra from the self-dual sector journal July 2011
Scattering of massless particles: scalars, gluons and gravitons journal July 2014
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Explicit BCJ numerators of nonlinear simga model journal September 2016
A relation between tree amplitudes of closed and open strings journal May 1986
New color decompositions for gauge amplitudes at tree and loop level journal April 2000
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current journal February 1965
Infrared Photons and Gravitons journal October 1965
New relations for gauge-theory amplitudes journal October 2008
Galileon as a local modification of gravity journal March 2009
Gravity as the square of gauge theory journal September 2010
Scattering equations and Kawai-Lewellen-Tye orthogonality journal September 2014
Hidden symmetry of the Galileon journal July 2015
Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal August 2010
Scattering of Massless Particles in Arbitrary Dimensions journal October 2014
Effective Field Theories from Soft Limits of Scattering Amplitudes journal June 2015
Nonrenormalization Theorems without Supersymmetry journal August 2015
On-Shell Recursion Relations for Effective Field Theories journal January 2016
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current journal September 1965
The galileon as a local modification of gravity text January 2008
Gravity as the Square of Gauge Theory text January 2010
The Kinematic Algebra From the Self-Dual Sector text January 2011
Amplitude Relations in Non-linear Sigma Model text January 2013
The Kinematic Algebras from the Scattering Equations text January 2013
Non-renormalization Theorems without Supersymmetry text January 2015

Cited By (41)

Unifying relations for scattering amplitudes journal February 2018
Berends-Giele currents in Bern-Carrasco-Johansson gauge for F3- and F4-deformed Yang-Mills amplitudes journal February 2019
Inelastic black hole scattering from charged scalar amplitudes journal March 2018
One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities journal March 2019
The infrared structure of exceptional scalar theories journal March 2019
BCJ numerators from reduced Pfaffian journal April 2017
Pions as gluons in higher dimensions journal April 2018
Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame journal May 2017
Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators journal May 2018
Non-Abelian gauged supergravities as double copies journal June 2019
Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy journal July 2017
Semi-abelian Z-theory: NLSM+ϕ 3 from the open string journal August 2017
Hidden simplicity of the gravity action journal September 2017
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes journal September 2017
Unraveling conformal gravity amplitudes journal September 2018
Heterotic and bosonic string amplitudes via field theory journal October 2018
Perturbiner methods for effective field theories and the double copy journal October 2018
The infrared structure of Nambu-Goldstone bosons journal October 2018
Radiation of scalar modes and the classical double copy journal November 2018
Gravitational radiation from color-kinematics duality journal November 2018
On the kinematic algebra for BCJ numerators beyond the MHV sector journal November 2019
Soft bootstrap and effective field theories journal November 2019
Classical gluon and graviton radiation from the bi-adjoint scalar double copy journal September 2017
Five-loop four-point integrand of N = 8 supergravity as a generalized double copy journal December 2017
Ultraviolet properties of N = 8 supergravity at five loops journal October 2018
Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models journal February 2018
Vector Effective Field Theories from Soft Limits journal June 2018
Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame text January 2017
Hidden Simplicity of the Gravity Action text January 2017
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes text January 2017
Pions as Gluons in Higher Dimensions text January 2017
Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models text January 2017
Inelastic Black Hole Scattering from Charged Scalar Amplitudes text January 2017
Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators text January 2018
The Infrared Structure of Nambu-Goldstone Bosons text January 2018
Gravitational Radiation from Color-Kinematics Duality text January 2018
Perturbiner Methods for Effective Field Theories and the Double Copy text January 2018
Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes text January 2018
The Infrared Structure of Exceptional Scalar Theories text January 2018
Soft Bootstrap and Effective Field Theories text January 2019
On the kinematic algebra for BCJ numerators beyond the MHV sector text January 2019

Similar Records

Unifying relations for scattering amplitudes
Journal Article · Wed Feb 14 19:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1501900

Covariant color-kinematics duality
Journal Article · Tue Nov 09 19:00:00 EST 2021 · Journal of High Energy Physics (Online) · OSTI ID:1976578