2013/01/03 by David Vegh, Vegh, David · 223 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Gravitation #Graviton #High Energy Physics - Theory (hep-th) #Massive gravity #Massless particle #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Symmetry breaking #Theoretical physics #Translational symmetry #cond-mat.str-el #hep-th
paper · pdf · doi:10.48550/arxiv.1301.0537
published in arXiv (Cornell University) (Cornell University) · 8 pages, 3 figures; v2: minor corrections
openalex publication_date 2013/01/03 · arxiv created 2013/01/15 · arxiv updated 2013/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a substitute for spatial inhomogeneities. This breaks momentum-conservation in the boundary field theory. At finite chemical potential, the gravity duals are charged black holes in asymptotically anti-de Sitter spacetime. The conductivity in these systems generally exhibits a Drude peak that approaches a delta function in the massless gravity limit. Furthermore, the optical conductivity shows an emergent scaling law: |σ(ω)| ≈ A \over ωα + B. This result is consistent with that found earlier by Horowitz, Santos, and Tong who introduced an explicit inhomogeneous lattice into the system.