139
views
0
recommends
+1 Recommend
0 collections
    8
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Quantum Gravity at a Lifshitz Point

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We present a candidate quantum field theory of gravity with dynamical critical exponent equal to z=3 in the UV. (As in condensed matter systems, z measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in 3+1 dimensions. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor. At long distances, this theory flows naturally to the relativistic value z=1, and could therefore serve as a possible candidate for a UV completion of Einstein's general relativity or an infrared modification thereof. The effective speed of light, the Newton constant and the cosmological constant all emerge from relevant deformations of the deeply nonrelativistic z=3 theory at short distances.

          Related collections

          Most cited references7

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry

          D. Son (2008)
          We discuss a realization of the nonrelativistic conformal group (the Schroedinger group) as the symmetry of a spacetime. We write down a toy model in which this geometry is a solution to field equations. We discuss various issues related to nonrelativistic holography. In particular, we argue that free fermions and fermions at unitarity correspond to the same bulk theory with different choices for the near-boundary asymptotics corresponding to the source and the expectation value of one operator. We describe an extended version of nonrelativistic general coordinate invariance which is realized holographically.
            Bookmark
            • Record: found
            • Abstract: found
            • Article: found
            Is Open Access

            Gravity duals for non-relativistic CFTs

            We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and more generally, a family of universality classes of quantum critical behavior. We construct a family of metrics which realize these symmetries as isometries. They are solutions of gravity with negative cosmological constant coupled to pressureless dust. We discuss realizations of the dust, which include a bulk superconductor. We develop the holographic dictionary and compute some two-point correlators. A strange aspect of the correspondence is that the bulk geometry has two extra noncompact dimensions.
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Gravitational Degrees of Freedom and the Initial-Value Problem

                Bookmark

                Author and article information

                Journal
                26 January 2009
                2009-03-02
                Article
                10.1103/PhysRevD.79.084008
                0901.3775
                a909a617-3e7a-46f3-befc-dd707e223688

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys.Rev.D79:084008,2009
                29 pages; v2: typos corrected, minor clarifications
                hep-th cond-mat.mes-hall gr-qc hep-ph

                Comments

                Comment on this article