Quantum Gravity signatures in the Unruh effect

Abstract

We study quantum gravity signatures emerging from phenomenologically motivated multiscale models, spectral actions, and Causal Set Theory within the detector approach to the Unruh effect. We show that while the Unruh temperature is unaffected, Lorentz-invariant corrections to the two-point function leave a characteristic fingerprint in the induced emission rate of the accelerated detector. Generically, quantum gravity models exhibiting dynamical dimensional reduction exhibit a suppression of the Unruh rate at high energy while the rate is enhanced in Kaluza-Klein theories with compact extra dimensions. We quantify this behavior by introducing the "Unruh dimension" as the effective spacetime dimension seen by the Unruh effect and show that it is related, though not identical, to the spectral dimension used to characterize spacetime in quantum gravity. We comment on the physical origins of these effects and their relevance for black hole evaporation.

38 pages, 7 figures; v3: section 2 rewritten, references added

References in corpus (27)

• The Unruh effect and its applications
• Nonperturbative Quantum Gravity
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Fractal properties of quantum spacetime
• Wavepacket detection with the Unruh-DeWitt model
• Quantum-gravity effects on a Higgs-Yukawa model
• Quantum Gravity Effects in the Kerr Spacetime
• On the relation between Unruh and Sokolov--Ternov effects
• On fixed points of quantum gravity
• Generalized Causal Set d'Alembertians
• On the non-local heat kernel expansion
• Nonlocal Scalar Quantum Field Theory from Causal Sets
• Dimensional flow in discrete quantum geometries
• Particle Physics from Almost Commutative Spacetimes
• On the physical meaning of the Unruh effect
• Low energy signatures of nonlocal field theories
• Spectral dimensions from the spectral action
• Superluminal dispersion relations and the Unruh effect
• Fractal Dimension in 3d Spin-Foams
• Fractal Space-Time from Spin-Foams
• Two-point functions with an invariant Planck scale and thermal effects
• Spectral action with zeta function regularization
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• On the UV dimensions of Loop Quantum Gravity
• Response of the Unruh-DeWitt detector in flat spacetime with a compact dimension
• Fixed points and infrared completion of quantum gravity
• Asymptotic Safety and Black Hole Thermodynamics

Cited by in corpus (18)

• Dimension and Dimensional Reduction in Quantum Gravity
• Correlation functions on a curved background
• On the Universality of Hawking Radiation
• Unruh effect for interacting particles with ultracold atoms
• The Unruh effect without thermality
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
• Noncommutative fields and the short-scale structure of spacetime
• Signal propagation on $\kappa$-Minkowski spacetime and non-local two-point functions
• Decoherence and thermalization of Unruh-DeWitt detector in arbitrary dimensions
• Continuum Modes of Nonlocal Field Theories
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Black Hole Remnants from Dynamical Dimensional Reduction?
• UNRUH EFFECT: Introductory Notes to Quantum Effects for Accelerated Observers
• Unruh-DeWitt detector in presence of multiple scalar fields : A Toy Model
• Distinguishing pure and thermal states by Landauer's principle in open systems
• Retarded resonance Casimir-Polder interaction of a uniformly rotating two-atom system
• Quantum Gravity from Fundamental Questions to Phenomenological Applications
• Unruh-DeWitt detector's response to a non-relativistic particle