|Description||V H Satheeshkumar|
Spectral Dimension, String Theory and Quantum
Given that the scale of quantum gravity is not experimentally accessible, one naturally resorts to mathematical consistency as a measure for a good candidate theory to replace General Relativity at high energies. Reproducing the semiclassical results of black hole entropy has become a standard test for any prospective theory of quantum gravity. It is often argued that another such commonality, albeit less known, is the similar fractal behaviour. It is shown that
many, if not all, approaches to quantum gravity predict a spectral dimension of 2 in ultraviolet regime. In this talk, by computing the heat kernel, we show that the string theory behaves differently and discuss the implications.
Most of the talk is based on the paper Phys. Rev. D 90, 024075 (2014) [arXiv:1407.3002] and we also present some new results.
For more information, please contact: Dr. Kenichi Hatakeyama 254-710- 2286