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

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:
 [1] ;  [2] ; ORCiD logo [1] ;  [1] ;  [3]
  1. Chinese Academy of Sciences (CAS), Beijing (China). State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics
  2. Queen Mary University of London (United Kingdom). School of Physics and Astronomy; Case Western Reserve Univ., Cleveland, OH (United States). CERCA/Department of Physics
  3. Case Western Reserve Univ., Cleveland, OH (United States). CERCA/Department of Physics
Publication Date:
Grant/Contract Number:
SC0009946; SC0010600
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 748; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1209160
Alternate Identifier(s):
OSTI ID: 1454770

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. United States: N. p., Web. doi:10.1016/j.physletb.2015.07.003.
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. United States. doi:10.1016/j.physletb.2015.07.003.
Huang, Qing-Guo, Ribeiro, Raquel H., Xing, Yu-Hang, Zhang, Ke-Chao, and Zhou, Shuang-Yong. 2015. "On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity". United States. doi:10.1016/j.physletb.2015.07.003.
@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. Section B},
number = C,
volume = 748,
place = {United States},
year = {2015},
month = {7}
}