High-energy gravitational scattering and black hole resonances

Abstract

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton exchange, and then by eikonalized graviton exchange, for which partial-wave amplitudes are derived. In the near-Schwarzschild regime, perturbation theory fails. However, general features of gravitational scattering associated with black hole formation suggest a particular form for amplitudes, which we express as a black hole ansatz. We explore features of this ansatz, including its locality properties. These amplitudes satisfy neither the Froissart bound, nor apparently the more fundamental property of polynomial boundedness, through which locality is often encoded in an S-matrix framework. Nevertheless, these amplitudes do satisfy a macroscopic form of causality, expressed as a polynomial bound for the forward-scattering amplitude.

22 pages, harvmac. v2: minor corrections

References in corpus (23)

• The World as a Hologram
• Dimensional Reduction in Quantum Gravity
• Classical Black Hole Production in High-Energy Collisions
• A Model for High Energy Scattering in Quantum Gravity
• Eikonal Quantum Gravity and Planckian Scattering
• Observables in effective gravity
• Black hole formation in the grazing collision of high-energy particles
• Black Holes and Massive Remnants
• A Measure of de Sitter Entropy and Eternal Inflation
• Black hole information, unitarity, and nonlocality
• Locality in quantum gravity and string theory
• Gravitational effects in ultrahigh-energy string scattering
• Quantum Production of Black Holes
• The black hole information paradox
• A global picture of quantum de Sitter space
• (Non)perturbative gravity, nonlocality, and nice slices
• Quantum Mechanics of Black Holes
• Quantization in black hole backgrounds
• Why Aren't Black Holes Infinitely Produced?
• Is Purity Eternal?
• Universal quantum mechanics
• Relational observables in 2d quantum gravity
• Black holes, information, and locality

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