2018/06/30 by Reza Fareghbal, Pedram Karimi · 16 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Dual polyhedron #Field (mathematics) #Geometry #Growth rate #Limit (mathematics) #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Spacetime #Theoretical physics #Upper and lower bounds #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.046003
published in Physical review. D/Physical review. D. 98(4) (American Physical Society) · 23 pages, 5 figures, V2: Numeric results corrected, text corrected accordingly, Ref. added V3: Published version
openalex publication_date 2018/08/06 · arxiv created 2018/08/14 · arxiv updated 2018/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use the complexity equals action proposal to calculate the rate of complexity growth for field theories that are the holographic duals of asymptotically flat spacetimes. To this aim, we evaluate the on-shell action of asymptotically flat spacetime on the Wheeler-DeWitt patch. This results in the same expression as can be found by taking the flat-space limit from the corresponding formula related to the asymptotically AdS spacetimes. For the bulk dimensions that are greater than three, the rate of complexity growth at late times approaches from above to Lloyd's bound. However, for the three-dimensional bulks, this rate is a constant and differs from Lloyd's bound by a logarithmic term.