On-Shell Recursion Relations for Effective Field Theories

Cheung, Clifford; Kampf, Karol; Novotny, Jiri; Shen, Chia-Hsien; Trnka, Jaroslav

doi:10.1103/PhysRevLett.116.041601

Title: On-Shell Recursion Relations for Effective Field Theories

Abstract

We derive the first ever on-shell recursion relations applicable to effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.

Authors:: Cheung, Clifford; Kampf, Karol; Novotny, Jiri; Shen, Chia-Hsien; Trnka, Jaroslav

Publication Date:: Fri Jan 01 00:00:00 EST 2016

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

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

Contributing Org.:: Aspen Center for Physics

OSTI Identifier:: 1364203

Alternate Identifier(s):: OSTI ID: 1600500

Grant/Contract Number:: SC0011632; SC0010255; PHY-1066293

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 116 Journal Issue: 4; 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

Citation Formats


                    Cheung, Clifford, Kampf, Karol, Novotny, Jiri, Shen, Chia-Hsien, and Trnka, Jaroslav. On-Shell Recursion Relations for Effective Field Theories.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.116.041601.

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                    Cheung, Clifford, Kampf, Karol, Novotny, Jiri, Shen, Chia-Hsien, & Trnka, Jaroslav. On-Shell Recursion Relations for Effective Field Theories.  United States.  https://doi.org/10.1103/PhysRevLett.116.041601

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                    Cheung, Clifford, Kampf, Karol, Novotny, Jiri, Shen, Chia-Hsien, and Trnka, Jaroslav. Fri .  
"On-Shell Recursion Relations for Effective Field Theories".  United States.  https://doi.org/10.1103/PhysRevLett.116.041601.

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@article{osti_1364203,

  title        = {On-Shell Recursion Relations for Effective Field Theories},

  author       = {Cheung, Clifford and Kampf, Karol and Novotny, Jiri and Shen, Chia-Hsien and Trnka, Jaroslav},

  abstractNote = {We derive the first ever on-shell recursion relations applicable to effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.},

  doi          = {10.1103/PhysRevLett.116.041601},

  journal      = {Physical Review Letters},

  number       = 4,

  volume       = 116,

  place        = {United States},

  year         = {Fri Jan 01 00:00:00 EST 2016},

  month        = {Fri Jan 01 00:00:00 EST 2016}

}

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On-shell recursion relations for generic theories
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Similar Records

Title: On-Shell Recursion Relations for Effective Field Theories

Abstract

Citation Formats

Phenomenological Model of Strong and Weak Interactions in Chiral U ( 3 ) ⊗ U ( 3 ) journal, September 1967

DBI and the Galileon reunited journal, May 2010

Double-soft limits of gluons and gravitons journal, July 2015

Scalar Field Theories with Polynomial Shift Symmetries journal, September 2015

Unification of Galileon dualities journal, October 2014

Recursion relation for boundary contribution journal, June 2015

New recursion relations for tree amplitudes of gluons journal, May 2005

Simple recursion relations for general field theories journal, June 2015

Determination of boundary contributions in recursion relation journal, March 2015

The Amplituhedron journal, October 2014

A recursion relation for gravity amplitudes journal, August 2005

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

New double soft emission theorems journal, September 2015

Recursion relations for tree-level amplitudes in the S U ( N ) nonlinear sigma model journal, April 2013

The effective field theory of inflation journal, March 2008

Goldstones with extended shift symmetries journal, November 2014

A duality for the S matrix journal, March 2010

Nonlinear Realizations of Chiral Symmetry journal, February 1968

On single and double soft behaviors in NLSM journal, August 2015

On tree amplitudes in gauge theory and gravity journal, April 2008

Inequivalence of coset constructions for spacetime symmetries journal, February 2015

4D gravity on a brane in 5D Minkowski space journal, July 2000

New ambitwistor string theories journal, November 2015

Hidden symmetry of the Galileon journal, July 2015

On-shell recursion relations for generic theories journal, March 2010

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

Galileon as a local modification of gravity journal, March 2009

On-shell constructibility of tree amplitudes in general field theories journal, April 2011

Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory journal, May 2005

Generalized Galileon duality journal, July 2014

A direct proof of the CSW rules journal, December 2005

Dynamical Approach to Current Algebra journal, January 1967

Tree-level amplitudes in the nonlinear sigma model journal, May 2013

Phenomenological Model of Strong and Weak Interactions in Chiral $U (3) \otimes U (3)$
journal, September 1967

DBI and the Galileon reunited
journal, May 2010

Double-soft limits of gluons and gravitons
journal, July 2015

Scalar Field Theories with Polynomial Shift Symmetries
journal, September 2015

Unification of Galileon dualities
journal, October 2014

Recursion relation for boundary contribution
journal, June 2015

New recursion relations for tree amplitudes of gluons
journal, May 2005

Simple recursion relations for general field theories
journal, June 2015

Determination of boundary contributions in recursion relation
journal, March 2015

The Amplituhedron
journal, October 2014

A recursion relation for gravity amplitudes
journal, August 2005

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

New double soft emission theorems
journal, September 2015

Recursion relations for tree-level amplitudes in the $S U (N)$ nonlinear sigma model
journal, April 2013

The effective field theory of inflation
journal, March 2008

Goldstones with extended shift symmetries
journal, November 2014

A duality for the S matrix
journal, March 2010

Nonlinear Realizations of Chiral Symmetry
journal, February 1968

On single and double soft behaviors in NLSM
journal, August 2015

On tree amplitudes in gauge theory and gravity
journal, April 2008

Inequivalence of coset constructions for spacetime symmetries
journal, February 2015

4D gravity on a brane in 5D Minkowski space
journal, July 2000

New ambitwistor string theories
journal, November 2015

Hidden symmetry of the Galileon
journal, July 2015

On-shell recursion relations for generic theories
journal, March 2010

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

Galileon as a local modification of gravity
journal, March 2009

On-shell constructibility of tree amplitudes in general field theories
journal, April 2011

Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory
journal, May 2005

Generalized Galileon duality
journal, July 2014

A direct proof of the CSW rules
journal, December 2005

Dynamical Approach to Current Algebra
journal, January 1967

Tree-level amplitudes in the nonlinear sigma model
journal, May 2013