On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity

Huang, Qing-Guo; Ribeiro, Raquel H.; Xing, Yu-Hang; Zhang, Ke-Chao; Zhou, Shuang-Yong

doi:10.1016/j.physletb.2015.07.003

Title: On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity

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Abstract

In de Rham–Gabadadze–Tolley (dRGT) massive gravity and bi-gravity, a non-minimal matter coupling involving both metrics generically reintroduces the Boulware–Deser (BD) ghost. A non-minimal matter coupling via a simple, yet specific composite metric has been proposed, which eliminates the BD ghost below the strong coupling scale. Working explicitly in the metric formulation and for arbitrary spacetime dimensions, we show that this composite metric is the unique consistent non-minimal matter coupling below the strong coupling scale, which emerges out of two diagnostics, namely, the absence of Ostrogradski ghosts in the decoupling limit and the absence of the BD ghost from matter quantum loop corrections.

Authors:

Huang, Qing-Guo; Ribeiro, Raquel H.;

; Zhang, Ke-Chao; Zhou, Shuang-Yong

Publication Date:: Tue Sep 01 00:00:00 EDT 2015

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1209160

Alternate Identifier(s):: OSTI ID: 1454770

Grant/Contract Number:: SC0009946; SC0010600

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 748 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Huang, Qing-Guo, Ribeiro, Raquel H., Xing, Yu-Hang, Zhang, Ke-Chao, and Zhou, Shuang-Yong. On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.07.003.

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                    Huang, Qing-Guo, Ribeiro, Raquel H., Xing, Yu-Hang, Zhang, Ke-Chao, & Zhou, Shuang-Yong. On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.07.003

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                    Huang, Qing-Guo, Ribeiro, Raquel H., Xing, Yu-Hang, Zhang, Ke-Chao, and Zhou, Shuang-Yong. Tue .  
"On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.07.003.

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@article{osti_1209160,

  title        = {On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity},

  author       = {Huang, Qing-Guo and Ribeiro, Raquel H. and Xing, Yu-Hang and Zhang, Ke-Chao and Zhou, Shuang-Yong},

  abstractNote = {In de Rham–Gabadadze–Tolley (dRGT) massive gravity and bi-gravity, a non-minimal matter coupling involving both metrics generically reintroduces the Boulware–Deser (BD) ghost. A non-minimal matter coupling via a simple, yet specific composite metric has been proposed, which eliminates the BD ghost below the strong coupling scale. Working explicitly in the metric formulation and for arbitrary spacetime dimensions, we show that this composite metric is the unique consistent non-minimal matter coupling below the strong coupling scale, which emerges out of two diagnostics, namely, the absence of Ostrogradski ghosts in the decoupling limit and the absence of the BD ghost from matter quantum loop corrections.},

  doi          = {10.1016/j.physletb.2015.07.003},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 748,

  place        = {Netherlands},

  year         = {Tue Sep 01 00:00:00 EDT 2015},

  month        = {Tue Sep 01 00:00:00 EDT 2015}

}

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