Transplanckian Dispersion Relation and Entanglement Entropy of Blackhole
arXiv:hep-th/0312136 · doi:10.1002/prop.200310133
Abstract
The quantum correction to the entanglement entropy of the event horizon is plagued by the UV divergence due to the infinitely blue-shifted near horizon modes. The resolution of this UV divergence provides an excellent window to a better understanding and control of the quantum gravity effects. We claim that the key to resolve this UV puzzle is the transplanckian dispersion relation. We calculate the entanglement entropy using a very general type of transplanckian dispersion relation such that high energy modes above a certain scale are cutoff, and show that the entropy is rendered UV finite. We argue that modified dispersion relation is a generic feature of string theory, and this boundedness nature of the dispersion relation is a general consequence of the existence of a minimal distance in string theory.
arXiv comment7 pages. To appear in the proceedings of 36th International Symposium Ahrenshoop on the theory of Elementary Particles: Recent Developments in String/M Theory and Field Theory, Berlin, Germany, 26-30 Aug 2003
References in corpus (13)
- Noncommutative Perturbative Dynamics
- Quantum Geometry and Black Hole Entropy
- The Stretched Horizon and Black Hole Complementarity
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Black Hole Entropy from Conformal Field Theory in Any Dimension
- Hawking Spectrum and High Frequency Dispersion
- Conformal description of horizon's states
- Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
- Modified Dispersion Relations from Closed Strings in Toroidal Cosmology
- Near-Horizon Virasoro Symmetry and the Entropy of de Sitter Space in Any Dimension
- String Theory and Noncommutative Field Theories at One Loop
- Multiloop String Amplitudes with B-Field and Noncommutative QFT