On the exactness of soft theorems

Guerrieri, Andrea L.; Huang, Yu-tin; Li, Zhizhong; Wen, Congkao

doi:10.1007/jhep12(2017)052

Title: On the exactness of soft theorems

Abstract

Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. Moreover, as further evidence for the exactness of type (II) soft theorems, we consider the α' expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to $$\mathcal{O}$$ (α'⁶) . Thus the massless S-matrix of string theory “knows” about the presence of D-branes.

Authors:

Guerrieri, Andrea L. ^[1]; Huang, Yu-tin ^[2]; Li, Zhizhong ^[3]; Wen, Congkao ^[4]

ICTP South American Inst. for Fundamental Research, São Paulo (Brazil); Chulalongkorn Univ., Bangkok (Thailand); Istituto Nazionale di Fisica Nucleare (INFN), Rome (Italy)
National Taiwan Univ., Taipei (Taiwan); National Tsing Hua Univ., Hsinchu (Taiwan)
National Taiwan Univ., Taipei (Taiwan)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Los Angeles, CA (United States)

Publication Date:: Tue Dec 12 00:00:00 EST 2017

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

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1501903

Grant/Contract Number:: SC0010255

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: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: Scattering Amplitudes; Spontaneous Symmetry Breaking; Effective Field Theories; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Guerrieri, Andrea L., Huang, Yu-tin, Li, Zhizhong, and Wen, Congkao. On the exactness of soft theorems.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep12(2017)052.

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                    Guerrieri, Andrea L., Huang, Yu-tin, Li, Zhizhong, & Wen, Congkao. On the exactness of soft theorems.  United States.  https://doi.org/10.1007/jhep12(2017)052

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                    Guerrieri, Andrea L., Huang, Yu-tin, Li, Zhizhong, and Wen, Congkao. Tue .  
"On the exactness of soft theorems".  United States.  https://doi.org/10.1007/jhep12(2017)052.  https://www.osti.gov/servlets/purl/1501903.

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@article{osti_1501903,

  title        = {On the exactness of soft theorems},

  author       = {Guerrieri, Andrea L. and Huang, Yu-tin and Li, Zhizhong and Wen, Congkao},

  abstractNote = {Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. Moreover, as further evidence for the exactness of type (II) soft theorems, we consider the α' expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to $\mathcal{O}$ (α'6) . Thus the massless S-matrix of string theory “knows” about the presence of D-branes.},

  doi          = {10.1007/jhep12(2017)052},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 12,

  volume       = 2017,

  place        = {United States},

  year         = {Tue Dec 12 00:00:00 EST 2017},

  month        = {Tue Dec 12 00:00:00 EST 2017}

}

Copy to clipboard

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Works referencing / citing this record:

Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
journal, May 2019

Addazi, Andrea; Bianchi, Massimo; Veneziano, Gabriele
Journal of High Energy Physics, Vol. 2019, Issue 5
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An algebraic classification of exceptional EFTs
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UV considerations on scattering amplitudes in a web of theories
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Quantum corrections to generic branes: DBI, NLSM, and more
journal, January 2021

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DOI: 10.1007/jhep01(2021)159

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preprint, January 2020

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Title: On the exactness of soft theorems

Abstract

Citation Formats

Exploring soft constraints on effective actions journal, October 2016

Recursion relations from soft theorems journal, March 2016

Phenomenology of Goldstone Neutrinos journal, September 1975

Instanton corrections to the effective action of N = 4 $$ \mathcal{N}=4 $$ SYM journal, November 2015

Complete N-point superstring disk amplitude I. Pure spinor computation journal, August 2013

From linear SUSY to constrained superfields journal, September 2009

Is the neutrino a goldstone particle? journal, September 1973

Scattering of Low-Energy Photons by Particles of Spin ½ journal, December 1954

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

Stringy KLT relations, global symmetries, and E 7(7)-violation journal, October 2010

Relating the Komargodski–Seiberg and Akulov–Volkov actions: Exact nonlinear field redefinition journal, April 2011

A periodic table of effective field theories journal, February 2017

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach journal, January 2011

Soft Photon and Graviton Theorems in Effective Field Theory journal, June 2017

Extension of the Low Soft-Photon Theorem journal, January 1968

Infrared Photons and Gravitons journal, October 1965

Universality in string interactions journal, September 2016

Origin of soft limits from nonlinear supersymmetry in Volkov-Akulov theory journal, March 2017

Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions journal, May 1958

Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem journal, February 2002

On the component structure of Script N = 1 supersymmetric nonlinear electrodynamics journal, May 2005

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

Low-Energy Theorem for Graviton Scattering journal, February 1968

The infrared divergence phenomena and high-energy processes journal, June 1961

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

Polylogarithms, multiple zeta values and superstring amplitudes journal, August 2013

Exact coefficients for higher dimensional operators with sixteen supersymmetries journal, September 2015

Double-soft behavior of the dilaton of spontaneously broken conformal invariance journal, September 2017

Nonlinear (super)symmetries and amplitudes journal, March 2017

Origin of Soft Limits from Nonlinear Supersymmetry in Volkov-Akulov Theory text, January 2016

Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order journal, May 2019

An algebraic classification of exceptional EFTs journal, August 2019

UV considerations on scattering amplitudes in a web of theories journal, December 2019

CFT data and spontaneously broken conformal invariance journal, February 2018

Infrared features of gravitational scattering and radiation in the eikonal approach journal, March 2019

Scattering Amplitudes from Soft Theorems and Infrared Behavior journal, February 2019

An Algebraic Classification of Exceptional EFTs text, January 2019

UV considerations on scattering amplitudes in a web of theories text, January 2019

Quantum corrections to generic branes: DBI, NLSM, and more journal, January 2021

Double-soft behavior of massless closed strings interacting with any number of closed string tachyons preprint, January 2020

Exploring soft constraints on effective actions
journal, October 2016

Recursion relations from soft theorems
journal, March 2016

Phenomenology of Goldstone Neutrinos
journal, September 1975

Instanton corrections to the effective action of N = 4 $$ \mathcal{N}=4 $$ SYM
journal, November 2015

Complete N-point superstring disk amplitude I. Pure spinor computation
journal, August 2013

From linear SUSY to constrained superfields
journal, September 2009

Is the neutrino a goldstone particle?
journal, September 1973

Scattering of Low-Energy Photons by Particles of Spin ½
journal, December 1954

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

Stringy KLT relations, global symmetries, and E 7(7)-violation
journal, October 2010

Relating the Komargodski–Seiberg and Akulov–Volkov actions: Exact nonlinear field redefinition
journal, April 2011

A periodic table of effective field theories
journal, February 2017

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
journal, January 2011

Soft Photon and Graviton Theorems in Effective Field Theory
journal, June 2017

Extension of the Low Soft-Photon Theorem
journal, January 1968

Infrared Photons and Gravitons
journal, October 1965

Universality in string interactions
journal, September 2016

Origin of soft limits from nonlinear supersymmetry in Volkov-Akulov theory
journal, March 2017

Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions
journal, May 1958

Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem
journal, February 2002

On the component structure of Script N = 1 supersymmetric nonlinear electrodynamics
journal, May 2005

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

Low-Energy Theorem for Graviton Scattering
journal, February 1968

The infrared divergence phenomena and high-energy processes
journal, June 1961

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

Polylogarithms, multiple zeta values and superstring amplitudes
journal, August 2013

Exact coefficients for higher dimensional operators with sixteen supersymmetries
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Double-soft behavior of the dilaton of spontaneously broken conformal invariance
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journal, March 2017

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Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
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An algebraic classification of exceptional EFTs
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UV considerations on scattering amplitudes in a web of theories
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CFT data and spontaneously broken conformal invariance
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Infrared features of gravitational scattering and radiation in the eikonal approach
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UV considerations on scattering amplitudes in a web of theories
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Quantum corrections to generic branes: DBI, NLSM, and more
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