Superluminal dispersion relations and the Unruh effect

Abstract

In the context of quantum gravity phenomenology, we study the Unruh effect in the presence of superluminal dispersion relations. In particular, we estimate the response function and the probability rate for an accelerated detector coupled to a massless scalar field, whose dispersion relation becomes essentially quadratic beyond a threshold momentum $k_p$. By means of perturbative analysis, we show that superluminal dispersion induces a correction to the Planckian spectrum, which tends to vanish as $k_p$ increases.

Final discussion expanded, references added. Version accepted for publication in Phys Rev D

References in corpus (20)

• Analogue Gravity
• Modern tests of Lorentz invariance
• Gravity with a dynamical preferred frame
• The Trans-Planckian Problem of Inflationary Cosmology
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Hawking Spectrum and High Frequency Dispersion
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• A Primer for Black Hole Quantum Physics
• Hawking Radiation Without Transplanckian Frequencies
• Inflation with a Planck-scale frequency cutoff
• Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
• On the Universality of the Hawking Effect
• The stress-energy tensor for trans-Planckian cosmology
• Testing Dispersion Relations of Quantum $\kappa$-Poincaré Algebra on Cosmological Ground
• The hypothesis of path integral duality II: corrections to quantum field theoretic results
• Short-distance contribution to the spectrum of Hawking radiation
• Two-dimensional gravity with a dynamical aether
• Renormalized Stress Tensor for trans-Planckian Cosmology
• Acceleration radiation and the Planck scale
• Unruh's detector in the presence of Lorentz symmetry breaking

Cited by in corpus (17)

• Geometry of physical dispersion relations
• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• A minimal length versus the Unruh effect
• Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects
• The Unruh effect without thermality
• Quantum Gravity signatures in the Unruh effect
• The entropy of an acoustic black hole in Bose-Einstein condensates
• Two-point functions with an invariant Planck scale and thermal effects
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• Unruh effect of nonlocal field theories with a minimal length
• The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
• Particle production and transplanckian problem on the non-commutative plane
• Acceleration radiation and the Planck scale
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Accelerated Particle Detectors with Modified Dispersion Relations
• Acceleration radiation, transition probabilities, and trans-Planckian physics
• Measurement-Induced Perturbations of Hausdorff Dimension in Quantum Paths