skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Eikonal scattering and asymptotic superluminality of massless higher spin fields

Abstract

We consider scattering of massless higher-spin particles in the eikonal regime in four dimensions. By demanding the absence of asymptotic superluminality, corresponding to positivity of the eikonal phase, we place constraints on the possible cubic couplings which can appear in the theory. The cubic couplings come in two types: lower-derivative non-Abelian vertices and higher-derivative Abelian vertices made out of gauge-invariant curvature tensors. We find that the Abelian couplings between massless higher spins lead to an asymptotic time advance for certain choices of polarizations, indicating that these couplings should be absent unless new states come in at the scale suppressing the derivatives in these couplings. A subset of non-Abelian cubic couplings are consistent with eikonal positivity, but are ruled out by consistency of the four-particle amplitude away from the eikonal limit. The eikonal constraints are, therefore, complementary to the four-particle test, ruling out even trivial cubic curvature couplings in any theory with a finite number of massless higher spins and no new physics at the scale suppressing derivatives in these vertices.

Authors:
; ;
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Simons Foundation; National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1457821
Alternate Identifier(s):
OSTI ID: 1503892
Grant/Contract Number:  
SC0011941; NNX16AB27G
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Eikonal scattering and asymptotic superluminality of massless higher spin fields. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.125019.
Hinterbichler, Kurt, Joyce, Austin, & Rosen, Rachel A. Eikonal scattering and asymptotic superluminality of massless higher spin fields. United States. doi:https://doi.org/10.1103/PhysRevD.97.125019
Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Fri . "Eikonal scattering and asymptotic superluminality of massless higher spin fields". United States. doi:https://doi.org/10.1103/PhysRevD.97.125019.
@article{osti_1457821,
title = {Eikonal scattering and asymptotic superluminality of massless higher spin fields},
author = {Hinterbichler, Kurt and Joyce, Austin and Rosen, Rachel A.},
abstractNote = {We consider scattering of massless higher-spin particles in the eikonal regime in four dimensions. By demanding the absence of asymptotic superluminality, corresponding to positivity of the eikonal phase, we place constraints on the possible cubic couplings which can appear in the theory. The cubic couplings come in two types: lower-derivative non-Abelian vertices and higher-derivative Abelian vertices made out of gauge-invariant curvature tensors. We find that the Abelian couplings between massless higher spins lead to an asymptotic time advance for certain choices of polarizations, indicating that these couplings should be absent unless new states come in at the scale suppressing the derivatives in these couplings. A subset of non-Abelian cubic couplings are consistent with eikonal positivity, but are ruled out by consistency of the four-particle amplitude away from the eikonal limit. The eikonal constraints are, therefore, complementary to the four-particle test, ruling out even trivial cubic curvature couplings in any theory with a finite number of massless higher spins and no new physics at the scale suppressing derivatives in these vertices.},
doi = {10.1103/PhysRevD.97.125019},
journal = {Physical Review D},
number = 12,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevD.97.125019

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Einstein gravity 3-point functions from conformal field theory
journal, December 2017

  • Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)049

On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations
journal, November 2010

  • Fotopoulos, Angelos; Tsulaia, Mirian
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)086

Limits on massless particles
journal, October 1980


Constructing the tree-level Yang-Mills S-matrix using complex factorization
journal, June 2009


PoincarÉ-Invariant Dynamics of Massless Higher Spins—Fourth-Order Analysis on mass Shell
journal, February 1991


Massive spin-2 scattering and asymptotic superluminality
journal, March 2018

  • Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.
  • Journal of High Energy Physics, Vol. 2018, Issue 3
  • DOI: 10.1007/JHEP03(2018)051

Systematics of higher-spin gauge fields
journal, January 1980


Graviton dominance in ultra-high-energy scattering
journal, November 1987


On the theoretical problems in constructing interactions involving higher-spin massless particles
journal, October 1985


How higher-spin gravity surpasses the spin-two barrier
journal, July 2012

  • Bekaert, Xavier; Boulanger, Nicolas; Sundell, Per A.
  • Reviews of Modern Physics, Vol. 84, Issue 3
  • DOI: 10.1103/RevModPhys.84.987

Eikonal Approximation in Quantum Field Theory
journal, October 1969


Gauge-Invariant Lagrangians for free and Interacting Higher spin Fields: a Review of the brst Formulation
journal, January 2009

  • Fotopoulos, Angelos; Tsulaia, Mirian
  • International Journal of Modern Physics A, Vol. 24, Issue 01
  • DOI: 10.1142/S0217751X09043134

On four-point interactions in massless higher spin theory in flat space
journal, April 2017


Relativistic Eikonal Expansion
journal, July 1969


On spin three self interactions
journal, September 1984

  • Berends, F. A.; Burgers, G. J. H.; Dam, H.
  • Zeitschrift f�r Physik C: Particles and Fields, Vol. 24, Issue 3-4
  • DOI: 10.1007/BF01410362

On the uniqueness of minimal coupling in higher-spin gauge theory
journal, August 2008


Universal limits on massless high-spin particles
journal, September 2008


String lessons for higher-spin interactions
journal, January 2011


On scattering amplitudes in higher spin theories
conference, October 2017

  • Tseytlin, Arkady
  • Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)
  • DOI: 10.22323/1.292.0073

A generating function for the cubic interactions of higher spin fields
journal, February 2011


Massless fields with integer spin
journal, November 1978


Eikonal quantum gravity and planckian scattering
journal, December 1992


Theorems on gravitational time delay and related issues
journal, November 2000


Interacting higher-spin gauge fields on the light front
journal, September 1987

  • Bengtsson, A. K. H.; Bengtsson, I.; Linden, N.
  • Classical and Quantum Gravity, Vol. 4, Issue 5
  • DOI: 10.1088/0264-9381/4/5/028

General trilinear interaction for arbitrary even higher spin gauge fields
journal, September 2010


Spinning conformal correlators
journal, November 2011

  • Costa, Miguel S.; Penedones, João; Poland, David
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)071

Cubic interaction terms for arbitrary spin
journal, October 1983


Conformal bootstrap in the Regge limit
journal, December 2017

  • Li, Daliang; Meltzer, David; Poland, David
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)013

S-Matrix Approach to Massless Higher Spins Theory ii: the case of Internal Symmetry
journal, August 1991


Causality constraints on massive gravity
journal, October 2017


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


General relativity from causality
journal, September 2017

  • Hertzberg, Mark P.; Sandora, McCullen
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)119

Infrared Photons and Gravitons
journal, October 1965


Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

  • Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)020

Cubic interaction vertices for massive and massless higher spin fields
journal, December 2006


On quantum corrections in higher-spin theory in flat space
journal, May 2016

  • Ponomarev, Dmitry; Tseytlin, Arkady A.
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)184

Introduction to the Classical Theory of Higher Spins
conference, January 2005

  • Sorokin, D.
  • FUNDAMENTAL INTERACTIONS AND TWISTOR-LIKE METHODS: XIX Max Born Symposium, AIP Conference Proceedings
  • DOI: 10.1063/1.1923335

On spin 3 interacting with gravity
journal, January 2009


Exploring the S matrix of massless particles
journal, July 2012


Note on gauge invariance and causal propagation
journal, September 2013


Cubic interactions of Maxwell-like higher spins
journal, April 2017

  • Francia, Dario; Monaco, Gabriele Lo; Mkrtchyan, Karapet
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)068

Generating Function for Cubic Interaction Vertices of Higher spin Fields in any Dimension
journal, August 1993


Higher-spin massless S matrices in four dimensions
journal, October 2014


Spinor-helicity three-point amplitudes from local cubic interactions
journal, August 2016

  • Conde, Eduardo; Joung, Euihun; Mkrtchyan, Karapet
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)040

High-Energy Elastic Scattering in Quantum Electrodynamics
journal, March 1969


Regge behavior saves string theory from causality violations
journal, May 2015

  • D’Appollonio, Giuseppe; Di Vecchia, Paolo; Russo, Rodolfo
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)144

    Works referencing / citing this record:

    A bound on massive higher spin particles
    journal, April 2019

    • Afkhami-Jeddi, Nima; Kundu, Sandipan; Tajdini, Amirhossein
    • Journal of High Energy Physics, Vol. 2019, Issue 4
    • DOI: 10.1007/jhep04(2019)056

    Spin-2 fields and the weak gravity conjecture
    journal, November 2019


    Bounds on amplitudes in effective theories with massive spinning particles
    journal, August 2018