Spectral dimension of the universe

By J. Ambjrn, J. Jurkiewicz, R. Loll. 2005

228 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1c8d999bd54a4411220f222e6819452b3853becd

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Citations in the corpus

Dimension and dimensional reduction in quantum gravity (2017, background): “Indeed, dimensional reduction was first noticed in high temperature string theory as early as 1988 [7], and has reappeared in discrete approaches (causal dynamical triangulations [8], causal sets [9]), loop quantum gravity [10], the Wheeler-DeWitt equation [11], noncommutative geometry [12], and a b”
Quantum-Spacetime Phenomenology (2008, background): “First results of this type were found in studies done within the framework of causal dynamical triangulations[48], naturally working with four Hausdorff dimensions and finding that the behavior at small diffusion times signaled two spectral dimensions.”
Nonperturbative quantum gravity (2012, methodology): “Substituting the values for a, b and c obtained from the fit (285), and taking into account their variation as we vary the σ-range [σmin, σmax] and use different weightings for the errors, we obtained the asymptotic values [108, 78] DS(σ=∞) = 4.”
Nonperturbative quantum de Sitter universe (2008, unknown): “8.”
Spectral dimension of the universe in quantum gravity at a lifshitz point. (2009, methodology): “Contents”
Quantum field theory, gravity and cosmology in a fractal universe (2010, result): “This is in intriguing accordance with other proposals for quantum gravity such as causal dynamical triangulations [9], asymptotically safe gravity [10] and spin-foam models [11] (see also [12]).”
The Asymptotic Safety Scenario in Quantum Gravity (2006, background): “4), the microscopic geometries appear to be effectively two-dimensional [6, 7].”
The universe from scratch (2005, background): “In fact, causal dynamically triangulated gravity in dimensions two [21], three [22] and four [23, 24, 6, 7, 8, 9, 25] has for the first time provided concrete evidence that the two path integrals are genuinely inequivalent and possess completely different properties.”
Reconstructing the universe (2005, methodology): “Substituting the values for a, b and c obtained from the fit (29), and taking into account their variation as we vary the σ-range [σmin, σmax] and use different weightings for the errors, we obtained the asymptotic values [21] DS(σ=∞) = 4.”
Cosmology of the Lifshitz universe (2009, background): “This is the same effective action found in CDT at large scales [39, 41]: SCDT = −SE ∼ SFRW(λ 1/3) .”
Hořava gravity at a Lifshitz point: A progress report (2017, background): “On the other hand, in CDTs [52] a preferred frame is also part of the process of quantization, which is quite similar to the foliation specified in Hořava gravity.”
Quantum gravity from causal dynamical triangulations: a review (2019, methodology): “27 in simulations at roughly twice the previous volume, N4 = 367 k, with time extension ttot = 80, and otherwise following the procedure outlined in [10].”
On the z=4 Horava-Lifshitz Gravity (2009, unknown): “1Email: cairg@itp.ac.cn 2Email: liuyan@itp.ac.cn 3Email: sunyw@itp.ac.cn”