Graviton bending in quantum gravity from one-loop amplitudes

Chi, Huan-Hang

doi:10.1103/PhysRevD.99.126008

Title: Graviton bending in quantum gravity from one-loop amplitudes

Abstract

We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous work on the bending angles of massless spin-0, spin -$$\frac{1}{2}$$ and spin-1 particles [N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Planté, and P. Vanhove, Phys. Rev. Lett. 114, 061301 (2015); N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Plante, and P. Vanhove, J. High Energy Phys. 11 (2016) 117; D. Bai and Y. Huang, Phys. Rev. D 95, 064045 (2017).], and provides more evidence for the violation of the equivalence principle at the quantum level, in the sense that the quantum corrections to bending angles for massless particles with different spins are different. Finally, we provide a universal expression for the bending angle in terms of coefficients of triangle and bubble integrals in the amplitudes in the low-energy limit. We also compare bending angles for scalar, photon and graviton projectiles under different circumstances.

Authors:: Chi, Huan-Hang

Publication Date:: Fri Jun 14 00:00:00 EDT 2019

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1526336

Alternate Identifier(s):: OSTI ID: 1546745

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 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; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats


                    Chi, Huan-Hang. Graviton bending in quantum gravity from one-loop amplitudes.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.126008.

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                    Chi, Huan-Hang. Graviton bending in quantum gravity from one-loop amplitudes.  United States.  https://doi.org/10.1103/PhysRevD.99.126008

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                    Chi, Huan-Hang. Fri .  
"Graviton bending in quantum gravity from one-loop amplitudes".  United States.  https://doi.org/10.1103/PhysRevD.99.126008.

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@article{osti_1526336,

  title        = {Graviton bending in quantum gravity from one-loop amplitudes},

  author       = {Chi, Huan-Hang},

  abstractNote = {We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous work on the bending angles of massless spin-0, spin -$\frac{1}{2}$ and spin-1 particles [N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Planté, and P. Vanhove, Phys. Rev. Lett. 114, 061301 (2015); N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Plante, and P. Vanhove, J. High Energy Phys. 11 (2016) 117; D. Bai and Y. Huang, Phys. Rev. D 95, 064045 (2017).], and provides more evidence for the violation of the equivalence principle at the quantum level, in the sense that the quantum corrections to bending angles for massless particles with different spins are different. Finally, we provide a universal expression for the bending angle in terms of coefficients of triangle and bubble integrals in the amplitudes in the low-energy limit. We also compare bending angles for scalar, photon and graviton projectiles under different circumstances.},

  doi          = {10.1103/PhysRevD.99.126008},

  journal      = {Physical Review D},

  number       = 12,

  volume       = 99,

  place        = {United States},

  year         = {Fri Jun 14 00:00:00 EDT 2019},

  month        = {Fri Jun 14 00:00:00 EDT 2019}

}

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Works referenced in this record:

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Works referencing / citing this record:

Note on the absence of $R^{2}$ corrections to Newton’s potential
journal, February 2020

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Title: Graviton bending in quantum gravity from one-loop amplitudes

Abstract

Citation Formats

Quantum gravitational corrections to the nonrelativistic scattering potential of two masses journal, April 2003

Graviton-photon scattering journal, March 2015

Quantum power correction to the Newton law journal, December 2002

Fusing gauge theory tree amplitudes into loop amplitudes journal, February 1995

One-loop amplitudes for e+e− to four partons journal, March 1998

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

Gravitational scattering of massless scalars in QFT and superstring theory journal, September 2005

The equivalence principle in a quantum world journal, October 2015

Two-loop quantum gravity journal, July 1992

Determination of angle of light deflection in higher-derivative gravity theories journal, March 2018

Amplitudes, observables, and classical scattering journal, February 2019

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences journal, November 2015

Two-loop renormalization of quantum gravity simplified journal, February 2017

More on the bending of light in quantum gravity journal, March 2017

One-loop n-point gauge theory amplitudes, unitarity and collinear limits journal, August 1994

Two-loop gravity amplitudes from four dimensional unitarity journal, February 2017

Quantum corrections to the Schwarzschild and Kerr metrics journal, October 2003

Bending of Light in Quantum Gravity journal, February 2015

General relativity as an effective field theory: The leading quantum corrections journal, September 1994

On-shell techniques and universal results in quantum gravity journal, February 2014

Scalar one-loop integrals for QCD journal, February 2008

Infrared Photons and Gravitons journal, October 1965

Quantum mechanics in curved space journal, September 1986

On relations between multi-gluon and multi-graviton scattering journal, August 1988

Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory journal, April 2004

Erratum: Quantum corrections to the Schwarzschild and Kerr metrics [Phys. Rev. D 68 , 084005 (2003)] journal, March 2005

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D 67 , 084033 (2003)] journal, March 2005

Light-like scattering in quantum gravity journal, November 2016

Generalized unitarity and one-loop amplitudes in super-Yang–Mills journal, October 2005

The ultraviolet behavior of Einstein gravity journal, March 1986

Quantum gravity at two loops journal, October 1985

Note on the absence of R 2 corrections to Newton’s potential journal, February 2020

Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
journal, April 2003

Graviton-photon scattering
journal, March 2015

Quantum power correction to the Newton law
journal, December 2002

Fusing gauge theory tree amplitudes into loop amplitudes
journal, February 1995

One-loop amplitudes for e+e− to four partons
journal, March 1998

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

Gravitational scattering of massless scalars in QFT and superstring theory
journal, September 2005

The equivalence principle in a quantum world
journal, October 2015

Two-loop quantum gravity
journal, July 1992

Determination of angle of light deflection in higher-derivative gravity theories
journal, March 2018

Amplitudes, observables, and classical scattering
journal, February 2019

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
journal, November 2015

Two-loop renormalization of quantum gravity simplified
journal, February 2017

More on the bending of light in quantum gravity
journal, March 2017

One-loop n-point gauge theory amplitudes, unitarity and collinear limits
journal, August 1994

Two-loop gravity amplitudes from four dimensional unitarity
journal, February 2017

Quantum corrections to the Schwarzschild and Kerr metrics
journal, October 2003

Bending of Light in Quantum Gravity
journal, February 2015

General relativity as an effective field theory: The leading quantum corrections
journal, September 1994

On-shell techniques and universal results in quantum gravity
journal, February 2014

Scalar one-loop integrals for QCD
journal, February 2008

Infrared Photons and Gravitons
journal, October 1965

Quantum mechanics in curved space
journal, September 1986

On relations between multi-gluon and multi-graviton scattering
journal, August 1988

Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
journal, April 2004

Erratum: Quantum corrections to the Schwarzschild and Kerr metrics [Phys. Rev. D 68 , 084005 (2003)]
journal, March 2005

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D 67 , 084033 (2003)]
journal, March 2005

Light-like scattering in quantum gravity
journal, November 2016

Generalized unitarity and one-loop amplitudes in super-Yang–Mills
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The ultraviolet behavior of Einstein gravity
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Quantum gravity at two loops
journal, October 1985

Note on the absence of $R^{2}$ corrections to Newton’s potential
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