Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
arXiv:0907.1625 · doi:10.1016/j.nuclphysb.2009.08.001
Abstract
In this note we discuss the relation between the constraints imposed by causality in the bulk of and the condition of positivity of the energy measured in ideal calorimeters in a collider experiment in the dual CFT. We first extend the analysis in the literature and recover all bounds imposed by causality of the boundary theory in the bulk dynamics for all polarizations of the graviton and the gauge boson field. These results translate to specific bounds for the ratio of central charges in the dual CFT, already found by analyzing the energy one point function. Then, we generalize this discussion and we study shock wave backgrounds in which we make manifest the relation between causality in the bulk and the three point function in the dual field theory. We remark that particular care has to be given to the exponentiation procedure of the three point function when solving the classical equations of motion in the higher gravity theory, as it is not clear that every theory will present causality problems. Finally, we present a field theoretic argument explaining the positivity of energy condition in any UV complete QFT.
31 pages, 3 figures; v2: references added
References in corpus (8)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Echoes of a Hidden Valley at Hadron Colliders
- Conformal collider physics: Energy and charge correlations
- Unparticle Physics
- Viscosity Bound and Causality Violation
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Beyond eta/s = 1/4pi
- Comments on Unparticles
Cited by in corpus (33)
- Holographic c-theorems in arbitrary dimensions
- Smarr Formula and an Extended First Law for Lovelock Gravity
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- The Lovelock Black Holes
- An upper bound on transport
- Holographic Holes in Higher Dimensions
- Causality and Hyperbolicity of Lovelock Theories
- Lovelock theories, holography and the fate of the viscosity bound
- Thermodynamics of hairy black holes in Lovelock gravity
- Quantum corrections to thermodynamics of quasitopological black holes
- A holographic proof of the averaged null energy condition
- On the Null Energy Condition and Causality in Lifshitz Holography
- Energy Flux Positivity and Unitarity in CFTs
- Holographic stress tensor at finite coupling
- Quasi-topological Reissner-Nordström Black Holes
- On Holographic Entanglement Entropy of Charged Matter
- Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
- Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole
- Black holes in quasi-topological gravity and conformal couplings
- R^2 Corrections to Asymptotically Lifshitz Spacetimes
- Towards 't Hooft parameter corrections to charge transport in strongly-coupled plasma
- sQGP as hCFT
- Holographic constraints on Bjorken hydrodynamics at finite coupling
- Viscosity bound for anisotropic superfluids in higher derivative gravity
- Holographic fermions in charged Gauss-Bonnet black hole
- Kerr-Schild Ansatz in Lovelock Gravity
- Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity
- The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections
- Lovelock theory, black holes and holography
- Holographic RG Flows from Quasi-Topological Gravity
- Counterterms for Static Lovelock Solutions
- Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation