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Strong coupling in nonrelativistic general covariant theory of gravity

2011/06/30 by Kai Lin, Anzhong Wang, Qiang Wu +1 · 35 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #Covariant transformation #Gravitation #Materials science #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.84.044051

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 84(4) (American Physical Society) · Some typos are corrected & new references added. revtex4, one figure. To appear in Physical Review D

arxiv created 2011/08/03 · openalex publication_date 2011/08/22 · arxiv updated 2011/09/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the strong coupling problem in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory of gravity with an arbitrary coupling constant \ensuremathλ, generalized recently by da Silva, where \ensuremathλ describes the deviation of the theory in the infrared from general relativity that has \ensuremathλGR=1. We find that a scalar field in the Minkowski background becomes strongly coupled for processes with energy higher than \ensuremathΛ_\ensuremathω[\ensuremath≡(Mpl/c1)3/2Mpl|\ensuremathλ\ensuremath-1|5/4], where generically c1\ensuremath≪Mpl. However, this problem can be cured by introducing a new energy scale M*, so that M*<\ensuremathΛ_\ensuremathω, where M* denotes the suppression energy of high-order derivative terms of the theory.

Citations