Modified dispersion relations from the renormalization group of gravity

2006/07/31 by F. Girelli, F Girelli, S. Liberati +5 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/16/003

published as Class.Quant.Grav.24:3995-4008,2007 · revtex4, 9 pages, updated to match published version

openalex publication_date 2007/07/31 · arxiv created 2007/08/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We show that the running of gravitational couplings, together with a suitable identification of the renormalization group scale can give rise to modified dispersion relations for massive particles. This result seems to be compatible with both the frameworks of effective field theory with Lorentz invariance violation and deformed special relativity. The phenomenological consequences depend on which of the frameworks is assumed. We discuss the nature and strength of the available constraints for both cases and show that in the case of Lorentz invariance violation, the theory would be strongly constrained.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Fat Gravitons, the Cosmological Constant and Sub-millimeter Tests
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Exact evolution equation for the effective potential
• Observables in effective gravity
• Is cosmic speed-up due to new gravitational physics?
• Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the standard model
• Fixed points of quantum gravity in higher dimensions
• Gravity's rainbow

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• Bimetric truncations for quantum Einstein gravity and asymptotic safety