Eikonal scattering and asymptotic superluminality of massless higher spin fields

Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.

doi:10.1103/PhysRevD.97.125019

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:: Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.

Publication Date:: 2018-06-29

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.

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                    Hinterbichler, Kurt, Joyce, Austin, & Rosen, Rachel A. Eikonal scattering and asymptotic superluminality of massless higher spin fields.  United States.  https://doi.org/10.1103/PhysRevD.97.125019

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                    Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Fri .  
"Eikonal scattering and asymptotic superluminality of massless higher spin fields".  United States.  https://doi.org/10.1103/PhysRevD.97.125019.

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@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}

}

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Works referenced in this record:

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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
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Spin-2 fields and the weak gravity conjecture
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Bonifacio, James; Hinterbichler, Kurt
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Title: Eikonal scattering and asymptotic superluminality of massless higher spin fields

Abstract

Citation Formats

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

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String lessons for higher-spin interactions journal, January 2011

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Eikonal quantum gravity and planckian scattering journal, December 1992

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

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Cubic interaction terms for arbitrary spin journal, October 1983

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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

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

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

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

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

A bound on massive higher spin particles journal, April 2019

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

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

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On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations
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Limits on massless particles
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Constructing the tree-level Yang-Mills S-matrix using complex factorization
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PoincarÉ-Invariant Dynamics of Massless Higher Spins—Fourth-Order Analysis on mass Shell
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Massive spin-2 scattering and asymptotic superluminality
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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

Eikonal Approximation in Quantum Field Theory
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Gauge-Invariant Lagrangians for free and Interacting Higher spin Fields: a Review of the brst Formulation
journal, January 2009

On four-point interactions in massless higher spin theory in flat space
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Relativistic Eikonal Expansion
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Universal limits on massless high-spin particles
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A generating function for the cubic interactions of higher spin fields
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Eikonal quantum gravity and planckian scattering
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Theorems on gravitational time delay and related issues
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Interacting higher-spin gauge fields on the light front
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General trilinear interaction for arbitrary even higher spin gauge fields
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S-Matrix Approach to Massless Higher Spins Theory ii: the case of Internal Symmetry
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On quantum corrections in higher-spin theory in flat space
journal, May 2016

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On spin 3 interacting with gravity
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Exploring the $S$ matrix of massless particles
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Note on gauge invariance and causal propagation
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