Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle

Bonifacio, James; Hinterbichler, Kurt

doi:10.1103/PhysRevD.98.085006

Title: Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle

Abstract

We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them to find the maximum scale of perturbative unitarity violation. The highest scale is Λ₃ = (m²M_P)^1/3, which is saturated by ghost-free bigravity. The strong coupling scale can be further raised to M_P if the kinetic term for one particle has the wrong sign, which uniquely gives the amplitudes of quadratic curvature gravity. We also discuss the generalization to massive higher-spin particles coupled to gravity.

Authors:: Bonifacio, James; Hinterbichler, Kurt

Publication Date:: Mon Oct 08 00:00:00 EDT 2018

Research Org.:: Case Western Reserve Univ., Cleveland, OH (United States)

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

OSTI Identifier:: 1477565

Alternate Identifier(s):: OSTI ID: 1613134

Grant/Contract Number:: SC0019143

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 8; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Effective field theory

Citation Formats


                    Bonifacio, James, and Hinterbichler, Kurt. Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.085006.

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                    Bonifacio, James, & Hinterbichler, Kurt. Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle.  United States.  https://doi.org/10.1103/PhysRevD.98.085006

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                    Bonifacio, James, and Hinterbichler, Kurt. Mon .  
"Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle".  United States.  https://doi.org/10.1103/PhysRevD.98.085006.

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@article{osti_1477565,

  title        = {Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle},

  author       = {Bonifacio, James and Hinterbichler, Kurt},

  abstractNote = {We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them to find the maximum scale of perturbative unitarity violation. The highest scale is Λ3 = (m2MP)1/3, which is saturated by ghost-free bigravity. The strong coupling scale can be further raised to MP if the kinetic term for one particle has the wrong sign, which uniquely gives the amplitudes of quadratic curvature gravity. We also discuss the generalization to massive higher-spin particles coupled to gravity.},

  doi          = {10.1103/PhysRevD.98.085006},

  journal      = {Physical Review D},

  number       = 8,

  volume       = 98,

  place        = {United States},

  year         = {Mon Oct 08 00:00:00 EDT 2018},

  month        = {Mon Oct 08 00:00:00 EDT 2018}

}

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Title: Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle

Abstract

Citation Formats

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Equations of motion for massive spin 2 field coupled to gravity journal, September 2000

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The string landscape, black holes and gravity as the weakest force journal, June 2007

Classical gravity with higher derivatives journal, April 1978

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Forbidden mass range for spin-2 field theory in de Sitter spacetime journal, January 1987

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

Consistent equations for massive spin-2 field coupled to gravity in string theory journal, November 1999

Counting conformal correlators journal, February 2018

All spin-2 cubic vertices with two derivatives journal, July 2013

Photons and Gravitons in S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass journal, August 1964

UV complete me: positivity bounds for particles with spin journal, March 2018

Resummation of Massive Gravity journal, June 2011

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When does supergravity become strong journal, January 1989

The Weak Gravity Conjecture and emergence from an ultraviolet cutoff journal, April 2018

Consistent non-minimal couplings of massive higher-spin particles journal, February 2014

On field theory for massive and massless spin52 particles journal, July 1979

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

Massive graviton on arbitrary background: derivation, syzygies, applications journal, June 2015

Spin-two fields and general covariance journal, June 1986

Helicity- 1 / 2 mode as a probe of interactions of a massive Rarita-Schwinger field journal, March 2013

Massive Gravity journal, August 2014

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

Note on massive spin 2 in curved space journal, October 1995

Bimetric gravity from ghost-free massive gravity journal, February 2012

Scale of quantum gravity journal, June 2005

No van Dam–Veltman–Zakharov discontinuity in AdS space journal, January 2001

Stückelberg approach to quadratic curvature gravity and its decoupling limits journal, March 2016

A model independent ultraviolet cutoff for theories with charged massive higher spin fields journal, June 2009

Recent developments in bimetric theory journal, March 2016

Higher Derivative Gravity and Conformal Gravity from Bimetric and Partially Massless Bimetric Theory journal, July 2015

Asymptotic freedom in higher-derivative quantum gravity journal, September 1985

Linear spin-2 fields in most general backgrounds journal, April 2016

Consistency problems of hypergravity journal, September 1979

Ghost-free derivative interactions for a massive graviton journal, October 2013

On spin- ⁵ / ₂ gauge fields
journal, May 1980

Massive Gravity theories and limits of ghost-free bigravity models
journal, September 2012

Massive and massless spin-2 scattering and asymptotic superluminality
journal, June 2018

Gauge invariance versus masslessness in de Sitter spaces
journal, May 1984

On gravitational interactions for massive higher spins in AdS ₃
journal, May 2013

Equations of motion for massive spin 2 field coupled to gravity
journal, September 2000

On massive spin 2 interactions
journal, May 2007

Intrinsic cutoff and acausality for massive spin 2 fields coupled to electromagnetism
journal, September 2008

Spinning conformal correlators
journal, November 2011

Kinematical singularities, crossing matrix and kinematical constraints for two-body helicity amplitudes
journal, February 1968

Scattering amplitudes in super-renormalizable gravity
journal, August 2015

The string landscape, black holes and gravity as the weakest force
journal, June 2007

Classical gravity with higher derivatives
journal, April 1978

Renormalizable asymtotically free quantum theory of gravity
journal, September 1981

Forbidden mass range for spin-2 field theory in de Sitter spacetime
journal, January 1987

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

Consistent equations for massive spin-2 field coupled to gravity in string theory
journal, November 1999

Counting conformal correlators
journal, February 2018

All spin-2 cubic vertices with two derivatives
journal, July 2013

Photons and Gravitons in $S$ -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass
journal, August 1964

UV complete me: positivity bounds for particles with spin
journal, March 2018

Resummation of Massive Gravity
journal, June 2011

Causality of massive spin-2 field in external gravity
journal, October 2000

When does supergravity become strong
journal, January 1989

The Weak Gravity Conjecture and emergence from an ultraviolet cutoff
journal, April 2018

Consistent non-minimal couplings of massive higher-spin particles
journal, February 2014

On field theory for massive and massless spin52 particles
journal, July 1979

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

Massive graviton on arbitrary background: derivation, syzygies, applications
journal, June 2015

Spin-two fields and general covariance
journal, June 1986

Helicity- $1 / 2$ mode as a probe of interactions of a massive Rarita-Schwinger field
journal, March 2013

Massive Gravity
journal, August 2014

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

Note on massive spin 2 in curved space
journal, October 1995

Bimetric gravity from ghost-free massive gravity
journal, February 2012

Scale of quantum gravity
journal, June 2005

No van Dam–Veltman–Zakharov discontinuity in AdS space
journal, January 2001

Stückelberg approach to quadratic curvature gravity and its decoupling limits
journal, March 2016

A model independent ultraviolet cutoff for theories with charged massive higher spin fields
journal, June 2009

Recent developments in bimetric theory
journal, March 2016

Higher Derivative Gravity and Conformal Gravity from Bimetric and Partially Massless Bimetric Theory
journal, July 2015

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Linear spin-2 fields in most general backgrounds
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