Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
arXiv:2106.09854 · doi:10.1007/JHEP09(2021)006
Abstract
Effective theories are being developed for fields outside black holes, often with an unusual open-system feel due to the influence of large number of degrees of freedom that lie out of reach beyond the horizon. What is often difficult when interpreting such theories is the absence of comparisons to simpler systems that share these features. We propose here such a simple model, involving a single external scalar field that mixes in a limited region of space with a `hotspot' containing a large number of hot internal degrees of freedom. Since the model is at heart gaussian it can be solved explicitly, and we do so for the mode functions and correlation functions for the external field once the hotspot fields are traced out. We compare with calculations that work perturbatively in the mixing parameter, and by doing so can precisely identify its domain of validity. We also show how renormalization-group EFT methods can allow some perturbative contributions to be resummed beyond leading order, verifying the result using the exact expression.
arXiv comment29 pages + appendices, 6 figures v2) now published in JHEP, typos fixed
References in corpus (89)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Testing General Relativity with Present and Future Astrophysical Observations
- Black Holes: Complementarity or Firewalls?
- General relativity as an effective field theory: The leading quantum corrections
- The information paradox: A pedagogical introduction
- Relativistic tidal properties of neutron stars
- Is the gravitational-wave ringdown a probe of the event horizon?
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Black holes, gravitational waves and fundamental physics: a roadmap
- An Effective Field Theory of Gravity for Extended Objects
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
- An Apologia for Firewalls
- The observational evidence for horizons: from echoes to precision gravitational-wave physics
- Tests for the existence of horizons through gravitational wave echoes
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- Post-Newtonian corrections to the motion of spinning bodies in NRGR
- The fuzzball proposal for black holes
- Introduction to Effective Field Theory
- Effective One Body description of tidal effects in inspiralling compact binaries
- The classical mechanics of non-conservative systems
- Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
- Echoes of Kerr-like wormholes
- A recipe for echoes from exotic compact objects
- Essentials of Blackfold Dynamics
- Carrollian Physics at the Black Hole Horizon
- Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
- An Action for Black Hole Membranes
- World-Volume Effective Theory for Higher-Dimensional Black Holes
- Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
- Dissipative Effects in the Worldline Approach to Black Hole Dynamics
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
- Black hole information, unitarity, and nonlocality
- Not quite a black hole
- Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
- Effective field theory calculation of second post-Newtonian binary dynamics
- Gravitational wave echoes through new windows
- Non-Relativistic Gravitation: From Newton to Einstein and Back
- Radiation reaction and gravitational waves in the effective field theory approach
- Renormalization Group Flows for Brane Couplings
- Classical Effective Field Theory and Caged Black Holes
- Accelerated Detector - Quantum Field Correlations: From Vacuum Fluctuations to Radiation Flux
- Non-conservative effects on Spinning Black Holes from World-Line Effective Field Theory
- TASI Lectures on Effective Field Theories
- Fixing extensions to General Relativity in the non-linear regime
- Harvesting Entanglement with Detectors Freely Falling into a Black Hole
- Harvesting correlations in Schwarzschild and collapsing shell spacetimes
- Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole
- (Non)perturbative gravity, nonlocality, and nice slices
- Nonlocality vs. complementarity: a conservative approach to the information problem
- Nonlinear/non-iterative treatment of EFT-motivated gravity
- Unruh-DeWitt detector response along static and circular geodesic trajectories for Schwarzschild-AdS black holes
- Lectures On Black Hole Evaporation and Information Loss
- Towards the nonlinear regime in extensions to GR: assessing possible options
- Codimension-2 Brane-Bulk Matching: Examples from Six and Ten Dimensions
- Uncertainty relation in Schwarzschild spacetime
- Echoes from the Abyss: The Holiday Edition!
- The BTZ black hole exhibits anti-Hawking phenomena
- Effective Field Theories and Matching for Codimension-2 Branes
- Horizon radiation reaction forces
- Hot Accelerated Qubits: Decoherence, Thermalization, Secular Growth and Reliable Late-time Predictions
- Understanding Hawking radiation in the framework of open quantum systems
- Effective Field Theory of Black Hole Echoes
- Communication through quantum fields near a black hole
- The Effective Field Theory of Codimension-two Branes
- Entanglement generation outside a Schwarzschild black hole and the Hawking effect
- An Effective Field Theory of Quantum Mechanical Black Hole Horizons
- Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
- Qubits on the Horizon: Decoherence and Thermalization near Black Holes
- Thermal Green Functions in Coordinate Space for Massless Particles of any Spin
- Constraining Fundamental Physics with the Event Horizon Telescope
- Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing Down
- Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
- Point-Particle Effective Field Theory II: Relativistic Effects and Coulomb/Inverse-Square Competition
- Virtual Hawking Radiation
- Geometric phase outside a Schwarzschild black hole and the Hawking effect
- Qubit Heating Near a Hotspot
- Over the horizon: distinguishing the Schwarzschild spacetime and the spacetime using an Unruh-DeWitt detector
- Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
- Fall to the Centre in Atom Traps and Point-Particle EFT for Absorptive Systems
- Reduced Theoretical Error for QED Tests with 4He+ Spectroscopy
- Casimir-Polder-like force on an atom outside a Schwarzschild black hole
- Smooth and sharp creation of a pointlike source for a -dimensional quantum field
- Remarks on distinguishability of Schwarzschild spacetime and thermal Minkowski spacetime using Resonance Casimir-Polder interaction
- Nuclear Predictions for Spectroscopy without Nuclear Errors
- Smooth and sharp creation of a spherical shell for a -dimensional quantum field
- How the mass of a scalar field influences Resonance Casimir-Polder interaction in Schwarzschild spacetime
- Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors