English

The scaling of black hole entropy in loop quantum gravity

General Relativity and Quantum Cosmology 2012-10-09 v1 High Energy Physics - Theory

Abstract

We discuss some general properties of black hole entropy in loop quantum gravity from the perspective of local stationary observers at distance l from the horizon. The present status of the theory indicates that black hole entropy differs from the low energy (IR) expected value A/(4G) (in natural units) in the deep Planckian regime (UV). The partition function is well defined if the number of non-geometric degrees of freedom g_M (encoding the degeneracy of the area a_p eigenvalue at a puncture p) satisfy the holographic bound g_M < exp(ap/(4G)). Our framework provides a natural renormalization mechanism such that S_UV ---> S_IR=A/(4 G) as the scale l flows.

Keywords

Cite

@article{arxiv.1210.2252,
  title  = {The scaling of black hole entropy in loop quantum gravity},
  author = {Amit Ghosh and Alejandro Perez},
  journal= {arXiv preprint arXiv:1210.2252},
  year   = {2012}
}