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      On the true nature of renormalizability in Horava-Lifshitz gravity

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          Abstract

          We argue that the true nature of the renormalizability of Horava-Lifshitz gravity lies in the presence of higher order spatial derivatives and not in the anisotropic Lifshitz scaling of space and time. We discuss the possibility of constructing a higher order spatial derivatives model that has the same renormalization properties of Horava-Lifshitz gravity but that does not make use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz symmetry restoration in Horava-Lifshitz-type theories of gravitation is reviewed.

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          General covariance in quantum gravity at a Lifshitz point

          Petr Horava, Charles Melby-Thompson (2010)
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            Prospects for constraining quantum gravity dispersion with near term observations

            Giovanni Amelino-Camelia, Lee Smolin (2009)
            We discuss the prospects for bounding and perhaps even measuring quantum gravity effects on the dispersion of light using the highest energy photons produced in gamma ray bursts measured by the Fermi telescope. These prospects are brigher than might have been expected as in the first 10 months of operation Fermi has reported so far eight events with photons over 100 MeV seen by its Large Area Telescope (LAT). We review features of these events which may bear on Planck scale phenomenology and we discuss the possible implications for the alternative scenarios for in-vacua dispersion coming from breaking or deforming of Poincare invariance. Among these are semi-conservative bounds, which rely on some relatively weak assumptions about the sources, on subluminal and superluminal in-vacuo dispersion. We also propose that it may be possible to look for the arrival of still higher energy photons and neutrinos from GRB's with energies in the range 10^14 - 10^17 eV. In some cases the quantum gravity dispersion effect would predict these arrivals to be delayed or advanced by days to months from the GRB, giving a clean separation of astrophysical source and spacetime propagation effects.
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              Lorentz symmetry breaking as a quantum field theory regulator

              Matt Visser (2009)
              Perturbative expansions of relativistic quantum field theories typically contain ultraviolet divergences requiring regularization and renormalization. Many different regularization techniques have been developed over the years, but most regularizations require severe mutilation of the logical foundations of the theory. In contrast, breaking Lorentz invariance, while it is certainly a radical step, at least does not damage the logical foundations of the theory. We shall explore the features of a Lorentz symmetry breaking regulator in a simple polynomial scalar field theory, and discuss its implications. We shall quantify just "how much" Lorentz symmetry breaking is required to fully regulate the theory and render it finite. This scalar field theory provides a simple way of understanding many of the key features of Horava's recent article [arXiv:0901.3775 [hep-th]] on 3+1 dimensional quantum gravity.
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                Author and article information

                Journal
                Publication date Created: 08 May 2012
                Publication date Updated: 2012-07-25
                Article
                DOI: 10.1007/s10701-012-9677-1
                ArXiV ID: 1205.1722
                SO-VID: 7b45b2d4-455a-4907-9f77-804d19572279
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Report No PI/UAN-2012-522FT
                Journal reference Found.Phys.42:1444-1451,2012
                Comments Latex file in Revtex style, 5 pages, no figures. v2: references added, version accepted for publication in Foundations of Physics
                Categories hep-th gr-qc

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