UV And IR Effects On Hawking Radiation

Abstract

We study the time-dependence of Hawking radiation for a black hole in the Unruh vacuum, and find that it is not robust against certain UV and IR effects. If there is a UV cutoff at the Planck scale, Hawking radiation is turned off after the scrambling time. In the absence of a UV cutoff, Hawking radiation is sensitive to the IR cutoff through a UV/IR connection due to higher-derivative interactions in the effective theory. Furthermore, higher-derivative interactions with the background contribute to a large amplitude of particle creation that changes Hawking radiation. This unexpected large effect is related to a peculiar feature of the Hawking particle wave packets.

arXiv comment35 pages, 5 figures, references added, minor modification

References in corpus (46)

• String Theory and Noncommutative Geometry
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Analogue Gravity
• A Generalized Uncertainty Principle in Quantum Gravity
• Fast Scramblers
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Testable scenario for Relativity with minimum-length
• Minimal Length Scale Scenarios for Quantum Gravity
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Noncommutative Open String and D-brane
• Nonpointlike Particles in Harmonic Oscillators
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Minimal Length Uncertainty Relation and Hydrogen Atom
• Hawking Spectrum and High Frequency Dispersion
• A Primer for Black Hole Quantum Physics
• Essential and inessential features of Hawking radiation
• Hawking Radiation Without Transplanckian Frequencies
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• String Theory and the Space-Time Uncertainty Principle
• On the Universality of the Hawking Effect
• A Self-consistent Model of the Black Hole Evaporation
• Hawking-like radiation does not require a trapped region
• Do black holes radiate?
• Hawking radiation and secularly growing loop corrections
• Perturbative Approach to Higher Derivative and Nonlocal Theories
• Quasi-particle creation by analogue black holes
• Phenomenological Description of the Interior of the Schwarzschild Black Hole
• On the Universality of Hawking Radiation
• Perturbative Approach to Higher Derivative Theories with Fermions
• Hawking Radiation, Gravitational Anomaly and Conformal Symmetry - the Origin of Universality -
• Black Hole as a Quantum Field Configuration
• Worldvolume Uncertainty Relations for D-Branes
• Hawking Radiation and Ultraviolet Regulators
• An Analytic Description of Semi-Classical Black-Hole Geometry
• Insensitivity of Hawking radiation to an invariant Planck-scale cutoff
• Hawking radiation in Non local field theories
• Planckian Physics Comes Into Play At Planckian Distance From Horizon
• Quantum evolution of the Hawking state for black holes
• Schrödinger evolution of the Hawking state
• Schrödinger evolution of two-dimensional black holes
• From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
• Interior Metric of Slowly Formed Black Holes in a Heat Bath
• Ultraviolet cut off, black hole-radiation equilibrium and big bang
• Distance between collapsing matter and trapping horizon in evaporating black holes

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• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox