Physics of Trans-Planckian Gravity

Abstract

We study the field theoretical description of a generic theory of gravity flowing to Einstein General Relativity in IR. We prove that, if ghost-free, in the weakly coupled regime such a theory can never become weaker than General Relativity. Using this fact, as a byproduct, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (Black Hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.

23 pages, 4 figures, v2: Paper reorganized to improve clarity; additional explanations and references added; version accepted for publication in Phys. Rev. D

References in corpus (25)

• Gauge Theory Correlators from Non-Critical String Theory
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• A Generalized Uncertainty Principle in Quantum Gravity
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Classical Black Hole Production in High-Energy Collisions
• On Gravity and the Uncertainty Principle
• Quantum Corrections to the Schwarzschild and Kerr Metrics
• Scales of Gravity
• Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity
• Black holes and asymptotically safe gravity
• The gravitational S-matrix
• Locality in quantum gravity and string theory
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Self-Completeness of Einstein Gravity
• High energy scattering in gravity and supergravity
• A Reformulation of the Hoop Conjecture
• Non Pauli-Fierz Massive Gravitons
• A bound on the effective gravitational coupling from semiclassical black holes
• Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV

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