Black-hole entropy from complex Ashtekar variables

作者:Frodden E*; Geiller M; Noui K; Perez A
来源:EPL, 2014, 107(1): 10005.
DOI:10.1209/0295-5075/107/10005

摘要

In loop quantum gravity, the number N-Gamma(A, gamma) of microstates of a black hole for a given discrete geometry Gamma depends on the so-called Barbero-Immirzi parameter gamma. Using a suitable analytic continuation of gamma to complex values, we show that the number N-Gamma(A, +/- i) of microstates behaves as exp(A/(4l(Pl)(2))) for a large area A in the large spin semiclassical limit. Such a correspondence with the semiclassical Bekenstein-Hawking entropy law points towards an unanticipated and remarkable feature of the original complex Ashtekar variables for quantum gravity.

  • 出版日期2014-7