2009/12/31 by Gianluca Calcagni · 3 citations
Physics and Astronomy · #hep-th #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevlett.104.251301
published as Phys.Rev.Lett.104:251301,2010 · 4 pages. v2: typos corrected; v3: discussion improved, intuitive introduction added, matches the published version
arxiv created 2010/06/24 · arxiv updated 2014/11/20
We propose a field theory which lives in fractal spacetime and is argued to be Lorentz invariant, power-counting renormalizable, ultraviolet finite, and causal. The system flows from an ultraviolet fixed point, where spacetime has Hausdorff dimension 2, to an infrared limit coinciding with a standard four-dimensional field theory. Classically, the fractal world where fields live exchanges energy momentum with the bulk with integer topological dimension. However, the total energy momentum is conserved. We consider the dynamics and the propagator of a scalar field. Implications for quantum gravity, cosmology, and the cosmological constant are discussed.