Symmetry for Flavor-Kinematics Duality from an Action

Cheung, Clifford; Shen, Chia-Hsien

doi:10.1103/PhysRevLett.118.121601

Title: Symmetry for Flavor-Kinematics Duality from an Action

Abstract

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.

Authors:

Cheung, Clifford ^[1]; Shen, Chia-Hsien ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

Publication Date:: Thu Mar 23 00:00:00 EDT 2017

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1424592

Alternate Identifier(s):: OSTI ID: 1348051

Grant/Contract Number:: SC0010255

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 12; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; dualities in field theory; effective field theory; Feynman diagrams; nonlinear sigma model; scattering amplitudes; symmetries

Citation Formats


                    Cheung, Clifford, and Shen, Chia-Hsien. Symmetry for Flavor-Kinematics Duality from an Action.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.118.121601.

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                    Cheung, Clifford, & Shen, Chia-Hsien. Symmetry for Flavor-Kinematics Duality from an Action.  United States.  https://doi.org/10.1103/PhysRevLett.118.121601

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                    Cheung, Clifford, and Shen, Chia-Hsien. Thu .  
"Symmetry for Flavor-Kinematics Duality from an Action".  United States.  https://doi.org/10.1103/PhysRevLett.118.121601.  https://www.osti.gov/servlets/purl/1424592.

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@article{osti_1424592,

  title        = {Symmetry for Flavor-Kinematics Duality from an Action},

  author       = {Cheung, Clifford and Shen, Chia-Hsien},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevLett.118.121601},

  journal      = {Physical Review Letters},

  number       = 12,

  volume       = 118,

  place        = {United States},

  year         = {Thu Mar 23 00:00:00 EDT 2017},

  month        = {Thu Mar 23 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Berends-Giele currents in Bern-Carrasco-Johansson gauge for F3- and F4-deformed Yang-Mills amplitudes
journal, February 2019

Garozzo, Lucia M.; Queimada, Leonel; Schlotterer, Oliver
Journal of High Energy Physics, Vol. 2019, Issue 2
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One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities
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Ben-Shahar, Maor; Chiodaroli, Marco
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Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
journal, May 2018

Ahmadiniaz, Naser; Gomez, Humberto; Lopez-Arcos, Cristhiam
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/jhep05(2018)055

On the kinematic algebra for BCJ numerators beyond the MHV sector
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Chen, Gang; Johansson, Henrik; Teng, Fei
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Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
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Teng, Fei; Feng, Bo
arXiv
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Hidden Simplicity of the Gravity Action
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Cheung, Clifford; Remmen, Grant N.
arXiv
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Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
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Johansson, Henrik; Kälin, Gregor; Mogull, Gustav
arXiv
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Pions as Gluons in Higher Dimensions
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Cheung, Clifford; Remmen, Grant N.; Shen, Chia-Hsien
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Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models
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Low, Ian; Yin, Zhewei
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Inelastic Black Hole Scattering from Charged Scalar Amplitudes
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Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
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Ahmadiniaz, Naser; Gomez, Humberto; Lopez-Arcos, Cristhiam
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Low, Ian; Yin, Zhewei
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Mizera, Sebastian; Skrzypek, Barbara
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Similar Records

Title: Symmetry for Flavor-Kinematics Duality from an Action

Abstract

Citation Formats

The kinematic algebra from the self-dual sector journal, July 2011

Explicit BCJ numerators of nonlinear simga model journal, September 2016

A relation between tree amplitudes of closed and open strings journal, May 1986

Gravity as the square of gauge theory journal, September 2010

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New color decompositions for gauge amplitudes at tree and loop level journal, April 2000

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Hidden symmetry of the Galileon journal, July 2015

Extensions of theories from soft limits journal, June 2016

Scattering of Massless Particles in Arbitrary Dimensions journal, October 2014

On-Shell Recursion Relations for Effective Field Theories journal, January 2016

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Galileon as a local modification of gravity journal, March 2009

Amplitude relations in non-linear sigma model journal, January 2014

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal, July 2015

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Nonrenormalization Theorems without Supersymmetry journal, August 2015

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Scattering of massless particles: scalars, gluons and gravitons journal, July 2014

Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current journal, February 1965

Scattering equations and Kawai-Lewellen-Tye orthogonality journal, September 2014

The kinematic algebras from the scattering equations journal, March 2014

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

Berends-Giele currents in Bern-Carrasco-Johansson gauge for F3- and F4-deformed Yang-Mills amplitudes journal, February 2019

One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities journal, March 2019

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On the kinematic algebra for BCJ numerators beyond the MHV sector journal, November 2019

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

The kinematic algebra from the self-dual sector
journal, July 2011

Explicit BCJ numerators of nonlinear simga model
journal, September 2016

A relation between tree amplitudes of closed and open strings
journal, May 1986

Gravity as the square of gauge theory
journal, September 2010

New relations for gauge-theory amplitudes
journal, October 2008

New color decompositions for gauge amplitudes at tree and loop level
journal, April 2000

Infrared Photons and Gravitons
journal, October 1965

Hidden symmetry of the Galileon
journal, July 2015

Extensions of theories from soft limits
journal, June 2016

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014

On-Shell Recursion Relations for Effective Field Theories
journal, January 2016

Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015

Galileon as a local modification of gravity
journal, March 2009

Amplitude relations in non-linear sigma model
journal, January 2014

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
journal, July 2015

Perturbative Quantum Gravity as a Double Copy of Gauge Theory
journal, August 2010

Nonrenormalization Theorems without Supersymmetry
journal, August 2015

A periodic table of effective field theories
journal, February 2017

Scattering of massless particles: scalars, gluons and gravitons
journal, July 2014

Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current
journal, February 1965

Scattering equations and Kawai-Lewellen-Tye orthogonality
journal, September 2014

The kinematic algebras from the scattering equations
journal, March 2014

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

Berends-Giele currents in Bern-Carrasco-Johansson gauge for F3- and F4-deformed Yang-Mills amplitudes
journal, February 2019

One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities
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Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
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The Infrared Structure of Exceptional Scalar Theories
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