2014/11/30 by D. N. Coumbe, J. Jurkiewicz · 40 citations
Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Dimensional reduction #Lattice (music) #Noncommutative and Quantum Gravity Theories #Quantum #Quantum field theory #Quantum gravity #Quantum many-body systems #Renormalization #Renormalization group #Spacetime #hep-lat #hep-th
paper · pdf · doi:10.1007/jhep03(2015)151
published in Journal of High Energy Physics 2015(3) (Springer Nature) · 21 pages, 8 figures, 4 tables. Typos corrected, 3 tables added. Conclusions unchanged. Conforms with version published in JHEP
openalex publication_date 2015/03/01 · arxiv created 2015/04/20 · arxiv updated 2015/04/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the spectral dimension for a nonperturbative lattice approach to quantum gravity, known as causal dynamical triangulations (CDT), showing that the dimension of spacetime smoothly decreases from ∼ 4 on large distance scales to ∼ 3/2 on small distance scales. This novel result may provide a possible resolution to a long-standing argument against the asymptotic safety scenario. A method for determining the relative lattice spacing within the physical phase of the CDT parameter space is also outlined, which might prove useful when studying renormalization group flow in models of lattice quantum gravity.